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Finding the Third Proportional to 3,802 and 6,047

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Solution

The third proportional to 3,802 and 6,047 is: 9,617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802 : 6,047 = 6,047 : x
  2. Step 2: Convert to fraction form
    3,802/6,047 = 6,047/x
  3. Step 3: Cross multiply
    3,802x = 6,047 × 6,047
  4. Step 4: Simplify right side
    3,802x = 36,566,209
  5. Step 5: Solve for x
    x = 36,566,209/3,802
  6. Step 6: Final answer
    x = 9,617.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.