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Finding the Third Proportional to 45.95 and 92.74

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Solution

The third proportional to 45.95 and 92.74 is: 187.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.95 : 92.74 = 92.74 : x
  2. Step 2: Convert to fraction form
    45.95/92.74 = 92.74/x
  3. Step 3: Cross multiply
    45.95x = 92.74 × 92.74
  4. Step 4: Simplify right side
    45.95x = 8,601.11
  5. Step 5: Solve for x
    x = 8,601.11/45.95
  6. Step 6: Final answer
    x = 187.19

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.