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Finding the Third Proportional to 3,822.75 and 8,374.50

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Solution

The third proportional to 3,822.75 and 8,374.50 is: 18,346.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.75 : 8,374.50 = 8,374.50 : x
  2. Step 2: Convert to fraction form
    3,822.75/8,374.50 = 8,374.50/x
  3. Step 3: Cross multiply
    3,822.75x = 8,374.50 × 8,374.50
  4. Step 4: Simplify right side
    3,822.75x = 70,132,250.25
  5. Step 5: Solve for x
    x = 70,132,250.25/3,822.75
  6. Step 6: Final answer
    x = 18,346.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.