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Finding the Third Proportional to 16,487 and 24,368

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Solution

The third proportional to 16,487 and 24,368 is: 36,016.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,487 : 24,368 = 24,368 : x
  2. Step 2: Convert to fraction form
    16,487/24,368 = 24,368/x
  3. Step 3: Cross multiply
    16,487x = 24,368 × 24,368
  4. Step 4: Simplify right side
    16,487x = 593,799,424
  5. Step 5: Solve for x
    x = 593,799,424/16,487
  6. Step 6: Final answer
    x = 36,016.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.