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Finding the Third Proportional to 4,276.20 and 6,397.17

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Solution

The third proportional to 4,276.20 and 6,397.17 is: 9,570.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,276.20 : 6,397.17 = 6,397.17 : x
  2. Step 2: Convert to fraction form
    4,276.20/6,397.17 = 6,397.17/x
  3. Step 3: Cross multiply
    4,276.20x = 6,397.17 × 6,397.17
  4. Step 4: Simplify right side
    4,276.20x = 40,923,808.00
  5. Step 5: Solve for x
    x = 40,923,808.00/4,276.20
  6. Step 6: Final answer
    x = 9,570.14

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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.