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Finding the Third Proportional to 5,671 and 8,757.50

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Solution

The third proportional to 5,671 and 8,757.50 is: 13,523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671 : 8,757.50 = 8,757.50 : x
  2. Step 2: Convert to fraction form
    5,671/8,757.50 = 8,757.50/x
  3. Step 3: Cross multiply
    5,671x = 8,757.50 × 8,757.50
  4. Step 4: Simplify right side
    5,671x = 76,693,806.25
  5. Step 5: Solve for x
    x = 76,693,806.25/5,671
  6. Step 6: Final answer
    x = 13,523.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.