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Finding the Third Proportional to 40 and 92.94

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Solution

The third proportional to 40 and 92.94 is: 215.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    40 : 92.94 = 92.94 : x
  2. Step 2: Convert to fraction form
    40/92.94 = 92.94/x
  3. Step 3: Cross multiply
    40x = 92.94 × 92.94
  4. Step 4: Simplify right side
    40x = 8,637.38
  5. Step 5: Solve for x
    x = 8,637.38/40
  6. Step 6: Final answer
    x = 215.93

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.