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Finding the Third Proportional to 976.22 and 2,257.88

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Solution

The third proportional to 976.22 and 2,257.88 is: 5,222.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.22 : 2,257.88 = 2,257.88 : x
  2. Step 2: Convert to fraction form
    976.22/2,257.88 = 2,257.88/x
  3. Step 3: Cross multiply
    976.22x = 2,257.88 × 2,257.88
  4. Step 4: Simplify right side
    976.22x = 5,097,999.52
  5. Step 5: Solve for x
    x = 5,097,999.52/976.22
  6. Step 6: Final answer
    x = 5,222.19

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.