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Finding the Third Proportional to 1,480.88 and 3,238.50

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Solution

The third proportional to 1,480.88 and 3,238.50 is: 7,082.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.88 : 3,238.50 = 3,238.50 : x
  2. Step 2: Convert to fraction form
    1,480.88/3,238.50 = 3,238.50/x
  3. Step 3: Cross multiply
    1,480.88x = 3,238.50 × 3,238.50
  4. Step 4: Simplify right side
    1,480.88x = 10,487,882.25
  5. Step 5: Solve for x
    x = 10,487,882.25/1,480.88
  6. Step 6: Final answer
    x = 7,082.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.