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Finding the Third Proportional to 24,714 and 38,253

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Solution

The third proportional to 24,714 and 38,253 is: 59,209.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,714 : 38,253 = 38,253 : x
  2. Step 2: Convert to fraction form
    24,714/38,253 = 38,253/x
  3. Step 3: Cross multiply
    24,714x = 38,253 × 38,253
  4. Step 4: Simplify right side
    24,714x = 1,463,292,009
  5. Step 5: Solve for x
    x = 1,463,292,009/24,714
  6. Step 6: Final answer
    x = 59,209.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.