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Finding the Third Proportional to 16,337 and 24,460

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Solution

The third proportional to 16,337 and 24,460 is: 36,621.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,337 : 24,460 = 24,460 : x
  2. Step 2: Convert to fraction form
    16,337/24,460 = 24,460/x
  3. Step 3: Cross multiply
    16,337x = 24,460 × 24,460
  4. Step 4: Simplify right side
    16,337x = 598,291,600
  5. Step 5: Solve for x
    x = 598,291,600/16,337
  6. Step 6: Final answer
    x = 36,621.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.