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Finding the Third Proportional to 37,059.75 and 57,007.13

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Solution

The third proportional to 37,059.75 and 57,007.13 is: 87,691.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,059.75 : 57,007.13 = 57,007.13 : x
  2. Step 2: Convert to fraction form
    37,059.75/57,007.13 = 57,007.13/x
  3. Step 3: Cross multiply
    37,059.75x = 57,007.13 × 57,007.13
  4. Step 4: Simplify right side
    37,059.75x = 3,249,812,300.77
  5. Step 5: Solve for x
    x = 3,249,812,300.77/37,059.75
  6. Step 6: Final answer
    x = 87,691.16

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.