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Finding the Third Proportional to 3,165.75 and 6,220.13

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Solution

The third proportional to 3,165.75 and 6,220.13 is: 12,221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.75 : 6,220.13 = 6,220.13 : x
  2. Step 2: Convert to fraction form
    3,165.75/6,220.13 = 6,220.13/x
  3. Step 3: Cross multiply
    3,165.75x = 6,220.13 × 6,220.13
  4. Step 4: Simplify right side
    3,165.75x = 38,689,955.02
  5. Step 5: Solve for x
    x = 38,689,955.02/3,165.75
  6. Step 6: Final answer
    x = 12,221.42

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.