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Finding the Third Proportional to 4,115.81 and 6,426.84

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Solution

The third proportional to 4,115.81 and 6,426.84 is: 10,035.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.81 : 6,426.84 = 6,426.84 : x
  2. Step 2: Convert to fraction form
    4,115.81/6,426.84 = 6,426.84/x
  3. Step 3: Cross multiply
    4,115.81x = 6,426.84 × 6,426.84
  4. Step 4: Simplify right side
    4,115.81x = 41,304,320.59
  5. Step 5: Solve for x
    x = 41,304,320.59/4,115.81
  6. Step 6: Final answer
    x = 10,035.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.