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Finding the Third Proportional to 4,095.14 and 6,494.55

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Solution

The third proportional to 4,095.14 and 6,494.55 is: 10,299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.14 : 6,494.55 = 6,494.55 : x
  2. Step 2: Convert to fraction form
    4,095.14/6,494.55 = 6,494.55/x
  3. Step 3: Cross multiply
    4,095.14x = 6,494.55 × 6,494.55
  4. Step 4: Simplify right side
    4,095.14x = 42,179,240.59
  5. Step 5: Solve for x
    x = 42,179,240.59/4,095.14
  6. Step 6: Final answer
    x = 10,299.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.