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Finding the Third Proportional to 20,009 and 24,329

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Solution

The third proportional to 20,009 and 24,329 is: 29,581.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,009 : 24,329 = 24,329 : x
  2. Step 2: Convert to fraction form
    20,009/24,329 = 24,329/x
  3. Step 3: Cross multiply
    20,009x = 24,329 × 24,329
  4. Step 4: Simplify right side
    20,009x = 591,900,241
  5. Step 5: Solve for x
    x = 591,900,241/20,009
  6. Step 6: Final answer
    x = 29,581.70

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.