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Finding the Third Proportional to 41.88 and 93.31

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Solution

The third proportional to 41.88 and 93.31 is: 207.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.88 : 93.31 = 93.31 : x
  2. Step 2: Convert to fraction form
    41.88/93.31 = 93.31/x
  3. Step 3: Cross multiply
    41.88x = 93.31 × 93.31
  4. Step 4: Simplify right side
    41.88x = 8,707.22
  5. Step 5: Solve for x
    x = 8,707.22/41.88
  6. Step 6: Final answer
    x = 207.93

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.