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Finding the Third Proportional to 672.05 and 1,013.77

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Solution

The third proportional to 672.05 and 1,013.77 is: 1,529.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.05 : 1,013.77 = 1,013.77 : x
  2. Step 2: Convert to fraction form
    672.05/1,013.77 = 1,013.77/x
  3. Step 3: Cross multiply
    672.05x = 1,013.77 × 1,013.77
  4. Step 4: Simplify right side
    672.05x = 1,027,720.74
  5. Step 5: Solve for x
    x = 1,027,720.74/672.05
  6. Step 6: Final answer
    x = 1,529.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.