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Finding the Third Proportional to 31.64 and 41.77

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Solution

The third proportional to 31.64 and 41.77 is: 55.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.64 : 41.77 = 41.77 : x
  2. Step 2: Convert to fraction form
    31.64/41.77 = 41.77/x
  3. Step 3: Cross multiply
    31.64x = 41.77 × 41.77
  4. Step 4: Simplify right side
    31.64x = 1,744.37
  5. Step 5: Solve for x
    x = 1,744.37/31.64
  6. Step 6: Final answer
    x = 55.13

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.