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Finding the Third Proportional to 16,890 and 24,714

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Solution

The third proportional to 16,890 and 24,714 is: 36,162.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,890 : 24,714 = 24,714 : x
  2. Step 2: Convert to fraction form
    16,890/24,714 = 24,714/x
  3. Step 3: Cross multiply
    16,890x = 24,714 × 24,714
  4. Step 4: Simplify right side
    16,890x = 610,781,796
  5. Step 5: Solve for x
    x = 610,781,796/16,890
  6. Step 6: Final answer
    x = 36,162.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.