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Finding the Third Proportional to 24,806 and 53,419

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Solution

The third proportional to 24,806 and 53,419 is: 115,036.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,806 : 53,419 = 53,419 : x
  2. Step 2: Convert to fraction form
    24,806/53,419 = 53,419/x
  3. Step 3: Cross multiply
    24,806x = 53,419 × 53,419
  4. Step 4: Simplify right side
    24,806x = 2,853,589,561
  5. Step 5: Solve for x
    x = 2,853,589,561/24,806
  6. Step 6: Final answer
    x = 115,036.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.