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Finding the Third Proportional to 775.41 and 1,663.03

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Solution

The third proportional to 775.41 and 1,663.03 is: 3,566.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.41 : 1,663.03 = 1,663.03 : x
  2. Step 2: Convert to fraction form
    775.41/1,663.03 = 1,663.03/x
  3. Step 3: Cross multiply
    775.41x = 1,663.03 × 1,663.03
  4. Step 4: Simplify right side
    775.41x = 2,765,672.94
  5. Step 5: Solve for x
    x = 2,765,672.94/775.41
  6. Step 6: Final answer
    x = 3,566.74

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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.