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Finding the Third Proportional to 3,642 and 6,015

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Solution

The third proportional to 3,642 and 6,015 is: 9,934.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642 : 6,015 = 6,015 : x
  2. Step 2: Convert to fraction form
    3,642/6,015 = 6,015/x
  3. Step 3: Cross multiply
    3,642x = 6,015 × 6,015
  4. Step 4: Simplify right side
    3,642x = 36,180,225
  5. Step 5: Solve for x
    x = 36,180,225/3,642
  6. Step 6: Final answer
    x = 9,934.16

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.