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Finding the Third Proportional to 4,296.38 and 6,657.19

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Solution

The third proportional to 4,296.38 and 6,657.19 is: 10,315.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.38 : 6,657.19 = 6,657.19 : x
  2. Step 2: Convert to fraction form
    4,296.38/6,657.19 = 6,657.19/x
  3. Step 3: Cross multiply
    4,296.38x = 6,657.19 × 6,657.19
  4. Step 4: Simplify right side
    4,296.38x = 44,318,145.41
  5. Step 5: Solve for x
    x = 44,318,145.41/4,296.38
  6. Step 6: Final answer
    x = 10,315.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.