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Finding the Third Proportional to 633.75 and 1,348.50

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Solution

The third proportional to 633.75 and 1,348.50 is: 2,869.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.75 : 1,348.50 = 1,348.50 : x
  2. Step 2: Convert to fraction form
    633.75/1,348.50 = 1,348.50/x
  3. Step 3: Cross multiply
    633.75x = 1,348.50 × 1,348.50
  4. Step 4: Simplify right side
    633.75x = 1,818,452.25
  5. Step 5: Solve for x
    x = 1,818,452.25/633.75
  6. Step 6: Final answer
    x = 2,869.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.