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Finding the Third Proportional to 814.22 and 1,971.84

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Solution

The third proportional to 814.22 and 1,971.84 is: 4,775.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.22 : 1,971.84 = 1,971.84 : x
  2. Step 2: Convert to fraction form
    814.22/1,971.84 = 1,971.84/x
  3. Step 3: Cross multiply
    814.22x = 1,971.84 × 1,971.84
  4. Step 4: Simplify right side
    814.22x = 3,888,167.77
  5. Step 5: Solve for x
    x = 3,888,167.77/814.22
  6. Step 6: Final answer
    x = 4,775.34

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.