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Finding the Third Proportional to 24,780 and 38,328

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Solution

The third proportional to 24,780 and 38,328 is: 59,283.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,780 : 38,328 = 38,328 : x
  2. Step 2: Convert to fraction form
    24,780/38,328 = 38,328/x
  3. Step 3: Cross multiply
    24,780x = 38,328 × 38,328
  4. Step 4: Simplify right side
    24,780x = 1,469,035,584
  5. Step 5: Solve for x
    x = 1,469,035,584/24,780
  6. Step 6: Final answer
    x = 59,283.11

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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.