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Finding the Third Proportional to 24,412 and 51,686

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Solution

The third proportional to 24,412 and 51,686 is: 109,431.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,412 : 51,686 = 51,686 : x
  2. Step 2: Convert to fraction form
    24,412/51,686 = 51,686/x
  3. Step 3: Cross multiply
    24,412x = 51,686 × 51,686
  4. Step 4: Simplify right side
    24,412x = 2,671,442,596
  5. Step 5: Solve for x
    x = 2,671,442,596/24,412
  6. Step 6: Final answer
    x = 109,431.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.