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Finding the Third Proportional to 3,340.88 and 7,251.06

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Solution

The third proportional to 3,340.88 and 7,251.06 is: 15,737.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.88 : 7,251.06 = 7,251.06 : x
  2. Step 2: Convert to fraction form
    3,340.88/7,251.06 = 7,251.06/x
  3. Step 3: Cross multiply
    3,340.88x = 7,251.06 × 7,251.06
  4. Step 4: Simplify right side
    3,340.88x = 52,577,907.38
  5. Step 5: Solve for x
    x = 52,577,907.38/3,340.88
  6. Step 6: Final answer
    x = 15,737.77

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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.