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Finding the Third Proportional to 24,151 and 53,486

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Solution

The third proportional to 24,151 and 53,486 is: 118,452.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,151 : 53,486 = 53,486 : x
  2. Step 2: Convert to fraction form
    24,151/53,486 = 53,486/x
  3. Step 3: Cross multiply
    24,151x = 53,486 × 53,486
  4. Step 4: Simplify right side
    24,151x = 2,860,752,196
  5. Step 5: Solve for x
    x = 2,860,752,196/24,151
  6. Step 6: Final answer
    x = 118,452.74

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.