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Finding the Third Proportional to 13,902 and 16,314

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Solution

The third proportional to 13,902 and 16,314 is: 19,144.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902 : 16,314 = 16,314 : x
  2. Step 2: Convert to fraction form
    13,902/16,314 = 16,314/x
  3. Step 3: Cross multiply
    13,902x = 16,314 × 16,314
  4. Step 4: Simplify right side
    13,902x = 266,146,596
  5. Step 5: Solve for x
    x = 266,146,596/13,902
  6. Step 6: Final answer
    x = 19,144.48

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.