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Finding the Third Proportional to 64,411.88 and 89,002.97

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Solution

The third proportional to 64,411.88 and 89,002.97 is: 122,982.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,411.88 : 89,002.97 = 89,002.97 : x
  2. Step 2: Convert to fraction form
    64,411.88/89,002.97 = 89,002.97/x
  3. Step 3: Cross multiply
    64,411.88x = 89,002.97 × 89,002.97
  4. Step 4: Simplify right side
    64,411.88x = 7,921,528,446.31
  5. Step 5: Solve for x
    x = 7,921,528,446.31/64,411.88
  6. Step 6: Final answer
    x = 122,982.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.