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Finding the Third Proportional to 7,281 and 10,659

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Solution

The third proportional to 7,281 and 10,659 is: 15,604.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,281 : 10,659 = 10,659 : x
  2. Step 2: Convert to fraction form
    7,281/10,659 = 10,659/x
  3. Step 3: Cross multiply
    7,281x = 10,659 × 10,659
  4. Step 4: Simplify right side
    7,281x = 113,614,281
  5. Step 5: Solve for x
    x = 113,614,281/7,281
  6. Step 6: Final answer
    x = 15,604.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.