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Finding the Third Proportional to 8,032.92 and 12,001.92

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Solution

The third proportional to 8,032.92 and 12,001.92 is: 17,931.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.92 : 12,001.92 = 12,001.92 : x
  2. Step 2: Convert to fraction form
    8,032.92/12,001.92 = 12,001.92/x
  3. Step 3: Cross multiply
    8,032.92x = 12,001.92 × 12,001.92
  4. Step 4: Simplify right side
    8,032.92x = 144,046,128.69
  5. Step 5: Solve for x
    x = 144,046,128.69/8,032.92
  6. Step 6: Final answer
    x = 17,931.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.