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Finding the Third Proportional to 24,342 and 52,854

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Solution

The third proportional to 24,342 and 52,854 is: 114,762.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,342 : 52,854 = 52,854 : x
  2. Step 2: Convert to fraction form
    24,342/52,854 = 52,854/x
  3. Step 3: Cross multiply
    24,342x = 52,854 × 52,854
  4. Step 4: Simplify right side
    24,342x = 2,793,545,316
  5. Step 5: Solve for x
    x = 2,793,545,316/24,342
  6. Step 6: Final answer
    x = 114,762.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.