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Finding the Third Proportional to 6,531 and 12,972

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Solution

The third proportional to 6,531 and 12,972 is: 25,765.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531 : 12,972 = 12,972 : x
  2. Step 2: Convert to fraction form
    6,531/12,972 = 12,972/x
  3. Step 3: Cross multiply
    6,531x = 12,972 × 12,972
  4. Step 4: Simplify right side
    6,531x = 168,272,784
  5. Step 5: Solve for x
    x = 168,272,784/6,531
  6. Step 6: Final answer
    x = 25,765.24

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.