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Finding the Third Proportional to 3,252.66 and 6,914.11

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Solution

The third proportional to 3,252.66 and 6,914.11 is: 14,697.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,252.66 : 6,914.11 = 6,914.11 : x
  2. Step 2: Convert to fraction form
    3,252.66/6,914.11 = 6,914.11/x
  3. Step 3: Cross multiply
    3,252.66x = 6,914.11 × 6,914.11
  4. Step 4: Simplify right side
    3,252.66x = 47,804,908.45
  5. Step 5: Solve for x
    x = 47,804,908.45/3,252.66
  6. Step 6: Final answer
    x = 14,697.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.