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Finding the Third Proportional to 24,999 and 54,371

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Solution

The third proportional to 24,999 and 54,371 is: 118,252.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,999 : 54,371 = 54,371 : x
  2. Step 2: Convert to fraction form
    24,999/54,371 = 54,371/x
  3. Step 3: Cross multiply
    24,999x = 54,371 × 54,371
  4. Step 4: Simplify right side
    24,999x = 2,956,205,641
  5. Step 5: Solve for x
    x = 2,956,205,641/24,999
  6. Step 6: Final answer
    x = 118,252.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.