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Finding the Third Proportional to 24,098 and 52,732

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Solution

The third proportional to 24,098 and 52,732 is: 115,389.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,098 : 52,732 = 52,732 : x
  2. Step 2: Convert to fraction form
    24,098/52,732 = 52,732/x
  3. Step 3: Cross multiply
    24,098x = 52,732 × 52,732
  4. Step 4: Simplify right side
    24,098x = 2,780,663,824
  5. Step 5: Solve for x
    x = 2,780,663,824/24,098
  6. Step 6: Final answer
    x = 115,389.82

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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.