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Finding the Third Proportional to 824.47 and 1,764.26

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Solution

The third proportional to 824.47 and 1,764.26 is: 3,775.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.47 : 1,764.26 = 1,764.26 : x
  2. Step 2: Convert to fraction form
    824.47/1,764.26 = 1,764.26/x
  3. Step 3: Cross multiply
    824.47x = 1,764.26 × 1,764.26
  4. Step 4: Simplify right side
    824.47x = 3,112,610.80
  5. Step 5: Solve for x
    x = 3,112,610.80/824.47
  6. Step 6: Final answer
    x = 3,775.30

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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.