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Finding the Third Proportional to 26,000.75 and 37,155.25

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Solution

The third proportional to 26,000.75 and 37,155.25 is: 53,095.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,000.75 : 37,155.25 = 37,155.25 : x
  2. Step 2: Convert to fraction form
    26,000.75/37,155.25 = 37,155.25/x
  3. Step 3: Cross multiply
    26,000.75x = 37,155.25 × 37,155.25
  4. Step 4: Simplify right side
    26,000.75x = 1,380,512,602.56
  5. Step 5: Solve for x
    x = 1,380,512,602.56/26,000.75
  6. Step 6: Final answer
    x = 53,095.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.