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Finding the Third Proportional to 24,665 and 53,943

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Solution

The third proportional to 24,665 and 53,943 is: 117,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,665 : 53,943 = 53,943 : x
  2. Step 2: Convert to fraction form
    24,665/53,943 = 53,943/x
  3. Step 3: Cross multiply
    24,665x = 53,943 × 53,943
  4. Step 4: Simplify right side
    24,665x = 2,909,847,249
  5. Step 5: Solve for x
    x = 2,909,847,249/24,665
  6. Step 6: Final answer
    x = 117,974.75

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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.