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Finding the Third Proportional to 961.31 and 2,147.06

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Solution

The third proportional to 961.31 and 2,147.06 is: 4,795.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.31 : 2,147.06 = 2,147.06 : x
  2. Step 2: Convert to fraction form
    961.31/2,147.06 = 2,147.06/x
  3. Step 3: Cross multiply
    961.31x = 2,147.06 × 2,147.06
  4. Step 4: Simplify right side
    961.31x = 4,609,877.38
  5. Step 5: Solve for x
    x = 4,609,877.38/961.31
  6. Step 6: Final answer
    x = 4,795.40

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.