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Finding the Third Proportional to 40.75 and 93.06

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Solution

The third proportional to 40.75 and 93.06 is: 212.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.75 : 93.06 = 93.06 : x
  2. Step 2: Convert to fraction form
    40.75/93.06 = 93.06/x
  3. Step 3: Cross multiply
    40.75x = 93.06 × 93.06
  4. Step 4: Simplify right side
    40.75x = 8,660.63
  5. Step 5: Solve for x
    x = 8,660.63/40.75
  6. Step 6: Final answer
    x = 212.53

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.