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Finding the Third Proportional to 971.75 and 2,228.75

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Solution

The third proportional to 971.75 and 2,228.75 is: 5,111.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.75 : 2,228.75 = 2,228.75 : x
  2. Step 2: Convert to fraction form
    971.75/2,228.75 = 2,228.75/x
  3. Step 3: Cross multiply
    971.75x = 2,228.75 × 2,228.75
  4. Step 4: Simplify right side
    971.75x = 4,967,326.56
  5. Step 5: Solve for x
    x = 4,967,326.56/971.75
  6. Step 6: Final answer
    x = 5,111.73

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.