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Finding the Third Proportional to 1,511.16 and 3,252.66

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Solution

The third proportional to 1,511.16 and 3,252.66 is: 7,001.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.16 : 3,252.66 = 3,252.66 : x
  2. Step 2: Convert to fraction form
    1,511.16/3,252.66 = 3,252.66/x
  3. Step 3: Cross multiply
    1,511.16x = 3,252.66 × 3,252.66
  4. Step 4: Simplify right side
    1,511.16x = 10,579,772.68
  5. Step 5: Solve for x
    x = 10,579,772.68/1,511.16
  6. Step 6: Final answer
    x = 7,001.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.