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Finding the Third Proportional to 672.19 and 1,456.03

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Solution

The third proportional to 672.19 and 1,456.03 is: 3,153.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.19 : 1,456.03 = 1,456.03 : x
  2. Step 2: Convert to fraction form
    672.19/1,456.03 = 1,456.03/x
  3. Step 3: Cross multiply
    672.19x = 1,456.03 × 1,456.03
  4. Step 4: Simplify right side
    672.19x = 2,120,027.00
  5. Step 5: Solve for x
    x = 2,120,027.00/672.19
  6. Step 6: Final answer
    x = 3,153.92

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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.