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Finding the Third Proportional to 4,275.28 and 6,395.63

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Solution

The third proportional to 4,275.28 and 6,395.63 is: 9,567.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.28 : 6,395.63 = 6,395.63 : x
  2. Step 2: Convert to fraction form
    4,275.28/6,395.63 = 6,395.63/x
  3. Step 3: Cross multiply
    4,275.28x = 6,395.63 × 6,395.63
  4. Step 4: Simplify right side
    4,275.28x = 40,904,019.14
  5. Step 5: Solve for x
    x = 40,904,019.14/4,275.28
  6. Step 6: Final answer
    x = 9,567.56

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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.