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Finding the Third Proportional to 763.03 and 1,660.22

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Solution

The third proportional to 763.03 and 1,660.22 is: 3,612.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.03 : 1,660.22 = 1,660.22 : x
  2. Step 2: Convert to fraction form
    763.03/1,660.22 = 1,660.22/x
  3. Step 3: Cross multiply
    763.03x = 1,660.22 × 1,660.22
  4. Step 4: Simplify right side
    763.03x = 2,756,326.30
  5. Step 5: Solve for x
    x = 2,756,326.30/763.03
  6. Step 6: Final answer
    x = 3,612.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.