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Finding the Third Proportional to 44.25 and 96.25

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Solution

The third proportional to 44.25 and 96.25 is: 209.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.25 : 96.25 = 96.25 : x
  2. Step 2: Convert to fraction form
    44.25/96.25 = 96.25/x
  3. Step 3: Cross multiply
    44.25x = 96.25 × 96.25
  4. Step 4: Simplify right side
    44.25x = 9,264.06
  5. Step 5: Solve for x
    x = 9,264.06/44.25
  6. Step 6: Final answer
    x = 209.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.