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Finding the Third Proportional to 1,497.87 and 3,115.34

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Solution

The third proportional to 1,497.87 and 3,115.34 is: 6,479.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.87 : 3,115.34 = 3,115.34 : x
  2. Step 2: Convert to fraction form
    1,497.87/3,115.34 = 3,115.34/x
  3. Step 3: Cross multiply
    1,497.87x = 3,115.34 × 3,115.34
  4. Step 4: Simplify right side
    1,497.87x = 9,705,318.00
  5. Step 5: Solve for x
    x = 9,705,318.00/1,497.87
  6. Step 6: Final answer
    x = 6,479.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.