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Finding the Third Proportional to 757.48 and 1,663.51

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Solution

The third proportional to 757.48 and 1,663.51 is: 3,653.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.48 : 1,663.51 = 1,663.51 : x
  2. Step 2: Convert to fraction form
    757.48/1,663.51 = 1,663.51/x
  3. Step 3: Cross multiply
    757.48x = 1,663.51 × 1,663.51
  4. Step 4: Simplify right side
    757.48x = 2,767,251.74
  5. Step 5: Solve for x
    x = 2,767,251.74/757.48
  6. Step 6: Final answer
    x = 3,653.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.