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Finding the Third Proportional to 13,166 and 15,614

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Solution

The third proportional to 13,166 and 15,614 is: 18,517.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,166 : 15,614 = 15,614 : x
  2. Step 2: Convert to fraction form
    13,166/15,614 = 15,614/x
  3. Step 3: Cross multiply
    13,166x = 15,614 × 15,614
  4. Step 4: Simplify right side
    13,166x = 243,796,996
  5. Step 5: Solve for x
    x = 243,796,996/13,166
  6. Step 6: Final answer
    x = 18,517.17

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.