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Finding the Third Proportional to 23,982 and 38,310

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Solution

The third proportional to 23,982 and 38,310 is: 61,198.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,982 : 38,310 = 38,310 : x
  2. Step 2: Convert to fraction form
    23,982/38,310 = 38,310/x
  3. Step 3: Cross multiply
    23,982x = 38,310 × 38,310
  4. Step 4: Simplify right side
    23,982x = 1,467,656,100
  5. Step 5: Solve for x
    x = 1,467,656,100/23,982
  6. Step 6: Final answer
    x = 61,198.24

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.