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Finding the Third Proportional to 41.48 and 85.29

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Solution

The third proportional to 41.48 and 85.29 is: 175.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.48 : 85.29 = 85.29 : x
  2. Step 2: Convert to fraction form
    41.48/85.29 = 85.29/x
  3. Step 3: Cross multiply
    41.48x = 85.29 × 85.29
  4. Step 4: Simplify right side
    41.48x = 7,274.22
  5. Step 5: Solve for x
    x = 7,274.22/41.48
  6. Step 6: Final answer
    x = 175.35

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.