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Finding the Third Proportional to 3,165.19 and 6,872.06

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Solution

The third proportional to 3,165.19 and 6,872.06 is: 14,920.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.19 : 6,872.06 = 6,872.06 : x
  2. Step 2: Convert to fraction form
    3,165.19/6,872.06 = 6,872.06/x
  3. Step 3: Cross multiply
    3,165.19x = 6,872.06 × 6,872.06
  4. Step 4: Simplify right side
    3,165.19x = 47,225,243.00
  5. Step 5: Solve for x
    x = 47,225,243.00/3,165.19
  6. Step 6: Final answer
    x = 14,920.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.