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Finding the Third Proportional to 33.47 and 53.72

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Solution

The third proportional to 33.47 and 53.72 is: 86.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.47 : 53.72 = 53.72 : x
  2. Step 2: Convert to fraction form
    33.47/53.72 = 53.72/x
  3. Step 3: Cross multiply
    33.47x = 53.72 × 53.72
  4. Step 4: Simplify right side
    33.47x = 2,885.70
  5. Step 5: Solve for x
    x = 2,885.70/33.47
  6. Step 6: Final answer
    x = 86.22

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.