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Finding the Third Proportional to 24,691 and 54,323

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Solution

The third proportional to 24,691 and 54,323 is: 119,516.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,691 : 54,323 = 54,323 : x
  2. Step 2: Convert to fraction form
    24,691/54,323 = 54,323/x
  3. Step 3: Cross multiply
    24,691x = 54,323 × 54,323
  4. Step 4: Simplify right side
    24,691x = 2,950,988,329
  5. Step 5: Solve for x
    x = 2,950,988,329/24,691
  6. Step 6: Final answer
    x = 119,516.76

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.