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Finding the Third Proportional to 4,318.47 and 6,874.95

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Solution

The third proportional to 4,318.47 and 6,874.95 is: 10,944.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,318.47 : 6,874.95 = 6,874.95 : x
  2. Step 2: Convert to fraction form
    4,318.47/6,874.95 = 6,874.95/x
  3. Step 3: Cross multiply
    4,318.47x = 6,874.95 × 6,874.95
  4. Step 4: Simplify right side
    4,318.47x = 47,264,993.90
  5. Step 5: Solve for x
    x = 47,264,993.90/4,318.47
  6. Step 6: Final answer
    x = 10,944.85

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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.