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Finding the Third Proportional to 749.25 and 1,572.75

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Solution

The third proportional to 749.25 and 1,572.75 is: 3,301.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.25 : 1,572.75 = 1,572.75 : x
  2. Step 2: Convert to fraction form
    749.25/1,572.75 = 1,572.75/x
  3. Step 3: Cross multiply
    749.25x = 1,572.75 × 1,572.75
  4. Step 4: Simplify right side
    749.25x = 2,473,542.56
  5. Step 5: Solve for x
    x = 2,473,542.56/749.25
  6. Step 6: Final answer
    x = 3,301.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.