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Finding the Third Proportional to 37,887.75 and 57,358.13

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Solution

The third proportional to 37,887.75 and 57,358.13 is: 86,834.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,887.75 : 57,358.13 = 57,358.13 : x
  2. Step 2: Convert to fraction form
    37,887.75/57,358.13 = 57,358.13/x
  3. Step 3: Cross multiply
    37,887.75x = 57,358.13 × 57,358.13
  4. Step 4: Simplify right side
    37,887.75x = 3,289,954,503.52
  5. Step 5: Solve for x
    x = 3,289,954,503.52/37,887.75
  6. Step 6: Final answer
    x = 86,834.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.