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Finding the Third Proportional to 1,460.85 and 3,229.24

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Solution

The third proportional to 1,460.85 and 3,229.24 is: 7,138.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.85 : 3,229.24 = 3,229.24 : x
  2. Step 2: Convert to fraction form
    1,460.85/3,229.24 = 3,229.24/x
  3. Step 3: Cross multiply
    1,460.85x = 3,229.24 × 3,229.24
  4. Step 4: Simplify right side
    1,460.85x = 10,428,005.11
  5. Step 5: Solve for x
    x = 10,428,005.11/1,460.85
  6. Step 6: Final answer
    x = 7,138.32

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.