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Finding the Third Proportional to 868.22 and 1,835.16

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Solution

The third proportional to 868.22 and 1,835.16 is: 3,878.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.22 : 1,835.16 = 1,835.16 : x
  2. Step 2: Convert to fraction form
    868.22/1,835.16 = 1,835.16/x
  3. Step 3: Cross multiply
    868.22x = 1,835.16 × 1,835.16
  4. Step 4: Simplify right side
    868.22x = 3,367,798.46
  5. Step 5: Solve for x
    x = 3,367,798.46/868.22
  6. Step 6: Final answer
    x = 3,878.97

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.