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Finding the Third Proportional to 16,377 and 24,582

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Solution

The third proportional to 16,377 and 24,582 is: 36,897.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,377 : 24,582 = 24,582 : x
  2. Step 2: Convert to fraction form
    16,377/24,582 = 24,582/x
  3. Step 3: Cross multiply
    16,377x = 24,582 × 24,582
  4. Step 4: Simplify right side
    16,377x = 604,274,724
  5. Step 5: Solve for x
    x = 604,274,724/16,377
  6. Step 6: Final answer
    x = 36,897.77

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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.