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Finding the Third Proportional to 24,854 and 54,433

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Solution

The third proportional to 24,854 and 54,433 is: 119,214.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,854 : 54,433 = 54,433 : x
  2. Step 2: Convert to fraction form
    24,854/54,433 = 54,433/x
  3. Step 3: Cross multiply
    24,854x = 54,433 × 54,433
  4. Step 4: Simplify right side
    24,854x = 2,962,951,489
  5. Step 5: Solve for x
    x = 2,962,951,489/24,854
  6. Step 6: Final answer
    x = 119,214.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.