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Finding the Third Proportional to 40.25 and 48.25

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Solution

The third proportional to 40.25 and 48.25 is: 57.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.25 : 48.25 = 48.25 : x
  2. Step 2: Convert to fraction form
    40.25/48.25 = 48.25/x
  3. Step 3: Cross multiply
    40.25x = 48.25 × 48.25
  4. Step 4: Simplify right side
    40.25x = 2,328.06
  5. Step 5: Solve for x
    x = 2,328.06/40.25
  6. Step 6: Final answer
    x = 57.84

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.