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Finding the Third Proportional to 24,542 and 52,968

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Solution

The third proportional to 24,542 and 52,968 is: 114,318.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,542 : 52,968 = 52,968 : x
  2. Step 2: Convert to fraction form
    24,542/52,968 = 52,968/x
  3. Step 3: Cross multiply
    24,542x = 52,968 × 52,968
  4. Step 4: Simplify right side
    24,542x = 2,805,609,024
  5. Step 5: Solve for x
    x = 2,805,609,024/24,542
  6. Step 6: Final answer
    x = 114,318.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.