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Finding the Third Proportional to 4,295.53 and 6,402.80

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Solution

The third proportional to 4,295.53 and 6,402.80 is: 9,543.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,295.53 : 6,402.80 = 6,402.80 : x
  2. Step 2: Convert to fraction form
    4,295.53/6,402.80 = 6,402.80/x
  3. Step 3: Cross multiply
    4,295.53x = 6,402.80 × 6,402.80
  4. Step 4: Simplify right side
    4,295.53x = 40,995,807.82
  5. Step 5: Solve for x
    x = 40,995,807.82/4,295.53
  6. Step 6: Final answer
    x = 9,543.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.