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Finding the Third Proportional to 17,920 and 24,329

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Solution

The third proportional to 17,920 and 24,329 is: 33,030.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,920 : 24,329 = 24,329 : x
  2. Step 2: Convert to fraction form
    17,920/24,329 = 24,329/x
  3. Step 3: Cross multiply
    17,920x = 24,329 × 24,329
  4. Step 4: Simplify right side
    17,920x = 591,900,241
  5. Step 5: Solve for x
    x = 591,900,241/17,920
  6. Step 6: Final answer
    x = 33,030.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.