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Finding the Third Proportional to 24,739 and 50,342

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Solution

The third proportional to 24,739 and 50,342 is: 102,442.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,739 : 50,342 = 50,342 : x
  2. Step 2: Convert to fraction form
    24,739/50,342 = 50,342/x
  3. Step 3: Cross multiply
    24,739x = 50,342 × 50,342
  4. Step 4: Simplify right side
    24,739x = 2,534,316,964
  5. Step 5: Solve for x
    x = 2,534,316,964/24,739
  6. Step 6: Final answer
    x = 102,442.17

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.