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Finding the Third Proportional to 24,605 and 53,940

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Solution

The third proportional to 24,605 and 53,940 is: 118,249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,605 : 53,940 = 53,940 : x
  2. Step 2: Convert to fraction form
    24,605/53,940 = 53,940/x
  3. Step 3: Cross multiply
    24,605x = 53,940 × 53,940
  4. Step 4: Simplify right side
    24,605x = 2,909,523,600
  5. Step 5: Solve for x
    x = 2,909,523,600/24,605
  6. Step 6: Final answer
    x = 118,249.28

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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.