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Finding the Third Proportional to 45.72 and 92.71

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Solution

The third proportional to 45.72 and 92.71 is: 187.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.72 : 92.71 = 92.71 : x
  2. Step 2: Convert to fraction form
    45.72/92.71 = 92.71/x
  3. Step 3: Cross multiply
    45.72x = 92.71 × 92.71
  4. Step 4: Simplify right side
    45.72x = 8,594.59
  5. Step 5: Solve for x
    x = 8,594.59/45.72
  6. Step 6: Final answer
    x = 187.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.