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Finding the Third Proportional to 673.10 and 1,444.92

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Solution

The third proportional to 673.10 and 1,444.92 is: 3,101.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.10 : 1,444.92 = 1,444.92 : x
  2. Step 2: Convert to fraction form
    673.10/1,444.92 = 1,444.92/x
  3. Step 3: Cross multiply
    673.10x = 1,444.92 × 1,444.92
  4. Step 4: Simplify right side
    673.10x = 2,087,799.22
  5. Step 5: Solve for x
    x = 2,087,799.22/673.10
  6. Step 6: Final answer
    x = 3,101.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.