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Finding the Third Proportional to 12,992.91 and 30,363.61

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Solution

The third proportional to 12,992.91 and 30,363.61 is: 70,957.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,992.91 : 30,363.61 = 30,363.61 : x
  2. Step 2: Convert to fraction form
    12,992.91/30,363.61 = 30,363.61/x
  3. Step 3: Cross multiply
    12,992.91x = 30,363.61 × 30,363.61
  4. Step 4: Simplify right side
    12,992.91x = 921,948,774.28
  5. Step 5: Solve for x
    x = 921,948,774.28/12,992.91
  6. Step 6: Final answer
    x = 70,957.86

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.