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Finding the Third Proportional to 5,949.70 and 9,115.03

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Solution

The third proportional to 5,949.70 and 9,115.03 is: 13,964.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.70 : 9,115.03 = 9,115.03 : x
  2. Step 2: Convert to fraction form
    5,949.70/9,115.03 = 9,115.03/x
  3. Step 3: Cross multiply
    5,949.70x = 9,115.03 × 9,115.03
  4. Step 4: Simplify right side
    5,949.70x = 83,083,794.69
  5. Step 5: Solve for x
    x = 83,083,794.69/5,949.70
  6. Step 6: Final answer
    x = 13,964.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.