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Finding the Third Proportional to 24,379 and 36,409

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Solution

The third proportional to 24,379 and 36,409 is: 54,375.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,379 : 36,409 = 36,409 : x
  2. Step 2: Convert to fraction form
    24,379/36,409 = 36,409/x
  3. Step 3: Cross multiply
    24,379x = 36,409 × 36,409
  4. Step 4: Simplify right side
    24,379x = 1,325,615,281
  5. Step 5: Solve for x
    x = 1,325,615,281/24,379
  6. Step 6: Final answer
    x = 54,375.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.