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Finding the Third Proportional to 3,151.50 and 3,671.25

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Solution

The third proportional to 3,151.50 and 3,671.25 is: 4,276.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.50 : 3,671.25 = 3,671.25 : x
  2. Step 2: Convert to fraction form
    3,151.50/3,671.25 = 3,671.25/x
  3. Step 3: Cross multiply
    3,151.50x = 3,671.25 × 3,671.25
  4. Step 4: Simplify right side
    3,151.50x = 13,478,076.56
  5. Step 5: Solve for x
    x = 13,478,076.56/3,151.50
  6. Step 6: Final answer
    x = 4,276.72

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.