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Finding the Third Proportional to 4,869.49 and 6,086.87

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Solution

The third proportional to 4,869.49 and 6,086.87 is: 7,608.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869.49 : 6,086.87 = 6,086.87 : x
  2. Step 2: Convert to fraction form
    4,869.49/6,086.87 = 6,086.87/x
  3. Step 3: Cross multiply
    4,869.49x = 6,086.87 × 6,086.87
  4. Step 4: Simplify right side
    4,869.49x = 37,049,928.38
  5. Step 5: Solve for x
    x = 37,049,928.38/4,869.49
  6. Step 6: Final answer
    x = 7,608.58

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.