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Finding the Third Proportional to 10,682 and 14,988

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Solution

The third proportional to 10,682 and 14,988 is: 21,029.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682 : 14,988 = 14,988 : x
  2. Step 2: Convert to fraction form
    10,682/14,988 = 14,988/x
  3. Step 3: Cross multiply
    10,682x = 14,988 × 14,988
  4. Step 4: Simplify right side
    10,682x = 224,640,144
  5. Step 5: Solve for x
    x = 224,640,144/10,682
  6. Step 6: Final answer
    x = 21,029.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.