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Finding the Third Proportional to 4,344 and 9,659

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Solution

The third proportional to 4,344 and 9,659 is: 21,477.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,344 : 9,659 = 9,659 : x
  2. Step 2: Convert to fraction form
    4,344/9,659 = 9,659/x
  3. Step 3: Cross multiply
    4,344x = 9,659 × 9,659
  4. Step 4: Simplify right side
    4,344x = 93,296,281
  5. Step 5: Solve for x
    x = 93,296,281/4,344
  6. Step 6: Final answer
    x = 21,477.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.