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Finding the Third Proportional to 24,267 and 53,412

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Solution

The third proportional to 24,267 and 53,412 is: 117,560.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,267 : 53,412 = 53,412 : x
  2. Step 2: Convert to fraction form
    24,267/53,412 = 53,412/x
  3. Step 3: Cross multiply
    24,267x = 53,412 × 53,412
  4. Step 4: Simplify right side
    24,267x = 2,852,841,744
  5. Step 5: Solve for x
    x = 2,852,841,744/24,267
  6. Step 6: Final answer
    x = 117,560.54

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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.