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Finding the Third Proportional to 6,482 and 9,721

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Solution

The third proportional to 6,482 and 9,721 is: 14,578.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482 : 9,721 = 9,721 : x
  2. Step 2: Convert to fraction form
    6,482/9,721 = 9,721/x
  3. Step 3: Cross multiply
    6,482x = 9,721 × 9,721
  4. Step 4: Simplify right side
    6,482x = 94,497,841
  5. Step 5: Solve for x
    x = 94,497,841/6,482
  6. Step 6: Final answer
    x = 14,578.50

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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.