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Finding the Third Proportional to 41.77 and 75.09

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Solution

The third proportional to 41.77 and 75.09 is: 135.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.77 : 75.09 = 75.09 : x
  2. Step 2: Convert to fraction form
    41.77/75.09 = 75.09/x
  3. Step 3: Cross multiply
    41.77x = 75.09 × 75.09
  4. Step 4: Simplify right side
    41.77x = 5,639.07
  5. Step 5: Solve for x
    x = 5,639.07/41.77
  6. Step 6: Final answer
    x = 135.02

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.