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Finding the Third Proportional to 21.66 and 32.77

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Solution

The third proportional to 21.66 and 32.77 is: 49.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.66 : 32.77 = 32.77 : x
  2. Step 2: Convert to fraction form
    21.66/32.77 = 32.77/x
  3. Step 3: Cross multiply
    21.66x = 32.77 × 32.77
  4. Step 4: Simplify right side
    21.66x = 1,073.59
  5. Step 5: Solve for x
    x = 1,073.59/21.66
  6. Step 6: Final answer
    x = 49.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.