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Finding the Third Proportional to 766.97 and 1,638.98

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Solution

The third proportional to 766.97 and 1,638.98 is: 3,502.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.97 : 1,638.98 = 1,638.98 : x
  2. Step 2: Convert to fraction form
    766.97/1,638.98 = 1,638.98/x
  3. Step 3: Cross multiply
    766.97x = 1,638.98 × 1,638.98
  4. Step 4: Simplify right side
    766.97x = 2,686,269.78
  5. Step 5: Solve for x
    x = 2,686,269.78/766.97
  6. Step 6: Final answer
    x = 3,502.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.