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Finding the Third Proportional to 4,869 and 7,752.38

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Solution

The third proportional to 4,869 and 7,752.38 is: 12,343.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869 : 7,752.38 = 7,752.38 : x
  2. Step 2: Convert to fraction form
    4,869/7,752.38 = 7,752.38/x
  3. Step 3: Cross multiply
    4,869x = 7,752.38 × 7,752.38
  4. Step 4: Simplify right side
    4,869x = 60,099,318.14
  5. Step 5: Solve for x
    x = 60,099,318.14/4,869
  6. Step 6: Final answer
    x = 12,343.26

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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.