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Finding the Third Proportional to 3,865 and 6,001.50

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Solution

The third proportional to 3,865 and 6,001.50 is: 9,319.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865 : 6,001.50 = 6,001.50 : x
  2. Step 2: Convert to fraction form
    3,865/6,001.50 = 6,001.50/x
  3. Step 3: Cross multiply
    3,865x = 6,001.50 × 6,001.50
  4. Step 4: Simplify right side
    3,865x = 36,018,002.25
  5. Step 5: Solve for x
    x = 36,018,002.25/3,865
  6. Step 6: Final answer
    x = 9,319.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.