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Finding the Third Proportional to 10,493.61 and 22,678.73

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Solution

The third proportional to 10,493.61 and 22,678.73 is: 49,013.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.61 : 22,678.73 = 22,678.73 : x
  2. Step 2: Convert to fraction form
    10,493.61/22,678.73 = 22,678.73/x
  3. Step 3: Cross multiply
    10,493.61x = 22,678.73 × 22,678.73
  4. Step 4: Simplify right side
    10,493.61x = 514,324,992.85
  5. Step 5: Solve for x
    x = 514,324,992.85/10,493.61
  6. Step 6: Final answer
    x = 49,013.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.