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Finding the Third Proportional to 24,740 and 38,314

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Solution

The third proportional to 24,740 and 38,314 is: 59,335.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,740 : 38,314 = 38,314 : x
  2. Step 2: Convert to fraction form
    24,740/38,314 = 38,314/x
  3. Step 3: Cross multiply
    24,740x = 38,314 × 38,314
  4. Step 4: Simplify right side
    24,740x = 1,467,962,596
  5. Step 5: Solve for x
    x = 1,467,962,596/24,740
  6. Step 6: Final answer
    x = 59,335.59

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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.