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Finding the Third Proportional to 16,692 and 38,814

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Solution

The third proportional to 16,692 and 38,814 is: 90,254.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,692 : 38,814 = 38,814 : x
  2. Step 2: Convert to fraction form
    16,692/38,814 = 38,814/x
  3. Step 3: Cross multiply
    16,692x = 38,814 × 38,814
  4. Step 4: Simplify right side
    16,692x = 1,506,526,596
  5. Step 5: Solve for x
    x = 1,506,526,596/16,692
  6. Step 6: Final answer
    x = 90,254.41

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.