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Finding the Third Proportional to 21,951.16 and 24,257.76

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Solution

The third proportional to 21,951.16 and 24,257.76 is: 26,806.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,951.16 : 24,257.76 = 24,257.76 : x
  2. Step 2: Convert to fraction form
    21,951.16/24,257.76 = 24,257.76/x
  3. Step 3: Cross multiply
    21,951.16x = 24,257.76 × 24,257.76
  4. Step 4: Simplify right side
    21,951.16x = 588,438,908.85
  5. Step 5: Solve for x
    x = 588,438,908.85/21,951.16
  6. Step 6: Final answer
    x = 26,806.74

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.