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Finding the Third Proportional to 24,255 and 53,397

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Solution

The third proportional to 24,255 and 53,397 is: 117,552.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,255 : 53,397 = 53,397 : x
  2. Step 2: Convert to fraction form
    24,255/53,397 = 53,397/x
  3. Step 3: Cross multiply
    24,255x = 53,397 × 53,397
  4. Step 4: Simplify right side
    24,255x = 2,851,239,609
  5. Step 5: Solve for x
    x = 2,851,239,609/24,255
  6. Step 6: Final answer
    x = 117,552.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.