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Finding the Third Proportional to 671.34 and 1,032.47

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Solution

The third proportional to 671.34 and 1,032.47 is: 1,587.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.34 : 1,032.47 = 1,032.47 : x
  2. Step 2: Convert to fraction form
    671.34/1,032.47 = 1,032.47/x
  3. Step 3: Cross multiply
    671.34x = 1,032.47 × 1,032.47
  4. Step 4: Simplify right side
    671.34x = 1,065,991.72
  5. Step 5: Solve for x
    x = 1,065,991.72/671.34
  6. Step 6: Final answer
    x = 1,587.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.