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Finding the Third Proportional to 3,443.50 and 3,875.50

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Solution

The third proportional to 3,443.50 and 3,875.50 is: 4,361.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.50 : 3,875.50 = 3,875.50 : x
  2. Step 2: Convert to fraction form
    3,443.50/3,875.50 = 3,875.50/x
  3. Step 3: Cross multiply
    3,443.50x = 3,875.50 × 3,875.50
  4. Step 4: Simplify right side
    3,443.50x = 15,019,500.25
  5. Step 5: Solve for x
    x = 15,019,500.25/3,443.50
  6. Step 6: Final answer
    x = 4,361.70

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.