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Finding the Third Proportional to 24,713 and 54,346

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Solution

The third proportional to 24,713 and 54,346 is: 119,511.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,713 : 54,346 = 54,346 : x
  2. Step 2: Convert to fraction form
    24,713/54,346 = 54,346/x
  3. Step 3: Cross multiply
    24,713x = 54,346 × 54,346
  4. Step 4: Simplify right side
    24,713x = 2,953,487,716
  5. Step 5: Solve for x
    x = 2,953,487,716/24,713
  6. Step 6: Final answer
    x = 119,511.50

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Why These Related Problems?

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