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Finding the Third Proportional to 435.31 and 961.75

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Solution

The third proportional to 435.31 and 961.75 is: 2,124.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.31 : 961.75 = 961.75 : x
  2. Step 2: Convert to fraction form
    435.31/961.75 = 961.75/x
  3. Step 3: Cross multiply
    435.31x = 961.75 × 961.75
  4. Step 4: Simplify right side
    435.31x = 924,963.06
  5. Step 5: Solve for x
    x = 924,963.06/435.31
  6. Step 6: Final answer
    x = 2,124.83

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.