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Finding the Third Proportional to 26,468 and 57,309.50

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Solution

The third proportional to 26,468 and 57,309.50 is: 124,088.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,468 : 57,309.50 = 57,309.50 : x
  2. Step 2: Convert to fraction form
    26,468/57,309.50 = 57,309.50/x
  3. Step 3: Cross multiply
    26,468x = 57,309.50 × 57,309.50
  4. Step 4: Simplify right side
    26,468x = 3,284,378,790.25
  5. Step 5: Solve for x
    x = 3,284,378,790.25/26,468
  6. Step 6: Final answer
    x = 124,088.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.