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Finding the Third Proportional to 24,874 and 53,686

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Solution

The third proportional to 24,874 and 53,686 is: 115,871.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,874 : 53,686 = 53,686 : x
  2. Step 2: Convert to fraction form
    24,874/53,686 = 53,686/x
  3. Step 3: Cross multiply
    24,874x = 53,686 × 53,686
  4. Step 4: Simplify right side
    24,874x = 2,882,186,596
  5. Step 5: Solve for x
    x = 2,882,186,596/24,874
  6. Step 6: Final answer
    x = 115,871.46

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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.