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Finding the Third Proportional to 37,232.16 and 57,689.72

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Solution

The third proportional to 37,232.16 and 57,689.72 is: 89,387.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,232.16 : 57,689.72 = 57,689.72 : x
  2. Step 2: Convert to fraction form
    37,232.16/57,689.72 = 57,689.72/x
  3. Step 3: Cross multiply
    37,232.16x = 57,689.72 × 57,689.72
  4. Step 4: Simplify right side
    37,232.16x = 3,328,103,649.45
  5. Step 5: Solve for x
    x = 3,328,103,649.45/37,232.16
  6. Step 6: Final answer
    x = 89,387.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.