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Finding the Third Proportional to 10,074.38 and 14,092.73

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Solution

The third proportional to 10,074.38 and 14,092.73 is: 19,713.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.38 : 14,092.73 = 14,092.73 : x
  2. Step 2: Convert to fraction form
    10,074.38/14,092.73 = 14,092.73/x
  3. Step 3: Cross multiply
    10,074.38x = 14,092.73 × 14,092.73
  4. Step 4: Simplify right side
    10,074.38x = 198,605,162.16
  5. Step 5: Solve for x
    x = 198,605,162.16/10,074.38
  6. Step 6: Final answer
    x = 19,713.89

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.