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Finding the Third Proportional to 10,764.14 and 16,248.73

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Solution

The third proportional to 10,764.14 and 16,248.73 is: 24,527.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,764.14 : 16,248.73 = 16,248.73 : x
  2. Step 2: Convert to fraction form
    10,764.14/16,248.73 = 16,248.73/x
  3. Step 3: Cross multiply
    10,764.14x = 16,248.73 × 16,248.73
  4. Step 4: Simplify right side
    10,764.14x = 264,021,114.90
  5. Step 5: Solve for x
    x = 264,021,114.90/10,764.14
  6. Step 6: Final answer
    x = 24,527.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.