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Finding the Third Proportional to 24,729 and 38,322

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Solution

The third proportional to 24,729 and 38,322 is: 59,386.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,729 : 38,322 = 38,322 : x
  2. Step 2: Convert to fraction form
    24,729/38,322 = 38,322/x
  3. Step 3: Cross multiply
    24,729x = 38,322 × 38,322
  4. Step 4: Simplify right side
    24,729x = 1,468,575,684
  5. Step 5: Solve for x
    x = 1,468,575,684/24,729
  6. Step 6: Final answer
    x = 59,386.78

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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.