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Finding the Third Proportional to 24,394 and 54,644

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Solution

The third proportional to 24,394 and 54,644 is: 122,405.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,394 : 54,644 = 54,644 : x
  2. Step 2: Convert to fraction form
    24,394/54,644 = 54,644/x
  3. Step 3: Cross multiply
    24,394x = 54,644 × 54,644
  4. Step 4: Simplify right side
    24,394x = 2,985,966,736
  5. Step 5: Solve for x
    x = 2,985,966,736/24,394
  6. Step 6: Final answer
    x = 122,405.79

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.