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Finding the Third Proportional to 672.61 and 1,451.53

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Solution

The third proportional to 672.61 and 1,451.53 is: 3,132.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.61 : 1,451.53 = 1,451.53 : x
  2. Step 2: Convert to fraction form
    672.61/1,451.53 = 1,451.53/x
  3. Step 3: Cross multiply
    672.61x = 1,451.53 × 1,451.53
  4. Step 4: Simplify right side
    672.61x = 2,106,942.97
  5. Step 5: Solve for x
    x = 2,106,942.97/672.61
  6. Step 6: Final answer
    x = 3,132.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.