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Finding the Third Proportional to 48,867 and 77,671.50

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Solution

The third proportional to 48,867 and 77,671.50 is: 123,454.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,867 : 77,671.50 = 77,671.50 : x
  2. Step 2: Convert to fraction form
    48,867/77,671.50 = 77,671.50/x
  3. Step 3: Cross multiply
    48,867x = 77,671.50 × 77,671.50
  4. Step 4: Simplify right side
    48,867x = 6,032,861,912.25
  5. Step 5: Solve for x
    x = 6,032,861,912.25/48,867
  6. Step 6: Final answer
    x = 123,454.72

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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.