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Finding the Third Proportional to 10,680 and 15,969

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Solution

The third proportional to 10,680 and 15,969 is: 23,877.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,680 : 15,969 = 15,969 : x
  2. Step 2: Convert to fraction form
    10,680/15,969 = 15,969/x
  3. Step 3: Cross multiply
    10,680x = 15,969 × 15,969
  4. Step 4: Simplify right side
    10,680x = 255,008,961
  5. Step 5: Solve for x
    x = 255,008,961/10,680
  6. Step 6: Final answer
    x = 23,877.24

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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.