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Finding the Third Proportional to 671.63 and 1,470.66

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Solution

The third proportional to 671.63 and 1,470.66 is: 3,220.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.63 : 1,470.66 = 1,470.66 : x
  2. Step 2: Convert to fraction form
    671.63/1,470.66 = 1,470.66/x
  3. Step 3: Cross multiply
    671.63x = 1,470.66 × 1,470.66
  4. Step 4: Simplify right side
    671.63x = 2,162,829.81
  5. Step 5: Solve for x
    x = 2,162,829.81/671.63
  6. Step 6: Final answer
    x = 3,220.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.