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Finding the Third Proportional to 35,998.17 and 57,505.57

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Solution

The third proportional to 35,998.17 and 57,505.57 is: 91,862.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,998.17 : 57,505.57 = 57,505.57 : x
  2. Step 2: Convert to fraction form
    35,998.17/57,505.57 = 57,505.57/x
  3. Step 3: Cross multiply
    35,998.17x = 57,505.57 × 57,505.57
  4. Step 4: Simplify right side
    35,998.17x = 3,306,890,616.97
  5. Step 5: Solve for x
    x = 3,306,890,616.97/35,998.17
  6. Step 6: Final answer
    x = 91,862.74

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.