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Finding the Third Proportional to 26,264.25 and 57,628.13

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Solution

The third proportional to 26,264.25 and 57,628.13 is: 126,445.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,264.25 : 57,628.13 = 57,628.13 : x
  2. Step 2: Convert to fraction form
    26,264.25/57,628.13 = 57,628.13/x
  3. Step 3: Cross multiply
    26,264.25x = 57,628.13 × 57,628.13
  4. Step 4: Simplify right side
    26,264.25x = 3,321,000,791.02
  5. Step 5: Solve for x
    x = 3,321,000,791.02/26,264.25
  6. Step 6: Final answer
    x = 126,445.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.