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Finding the Third Proportional to 3,750 and 7,627.50

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Solution

The third proportional to 3,750 and 7,627.50 is: 15,514.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750 : 7,627.50 = 7,627.50 : x
  2. Step 2: Convert to fraction form
    3,750/7,627.50 = 7,627.50/x
  3. Step 3: Cross multiply
    3,750x = 7,627.50 × 7,627.50
  4. Step 4: Simplify right side
    3,750x = 58,178,756.25
  5. Step 5: Solve for x
    x = 58,178,756.25/3,750
  6. Step 6: Final answer
    x = 15,514.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.