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Finding the Third Proportional to 39,197.25 and 59,160.38

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Solution

The third proportional to 39,197.25 and 59,160.38 is: 89,290.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,197.25 : 59,160.38 = 59,160.38 : x
  2. Step 2: Convert to fraction form
    39,197.25/59,160.38 = 59,160.38/x
  3. Step 3: Cross multiply
    39,197.25x = 59,160.38 × 59,160.38
  4. Step 4: Simplify right side
    39,197.25x = 3,499,949,970.14
  5. Step 5: Solve for x
    x = 3,499,949,970.14/39,197.25
  6. Step 6: Final answer
    x = 89,290.70

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