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Finding the Third Proportional to 12,730.92 and 27,412.17

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Solution

The third proportional to 12,730.92 and 27,412.17 is: 59,023.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,730.92 : 27,412.17 = 27,412.17 : x
  2. Step 2: Convert to fraction form
    12,730.92/27,412.17 = 27,412.17/x
  3. Step 3: Cross multiply
    12,730.92x = 27,412.17 × 27,412.17
  4. Step 4: Simplify right side
    12,730.92x = 751,427,166.90
  5. Step 5: Solve for x
    x = 751,427,166.90/12,730.92
  6. Step 6: Final answer
    x = 59,023.78

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.