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Finding the Third Proportional to 41.91 and 88.03

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Solution

The third proportional to 41.91 and 88.03 is: 184.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.91 : 88.03 = 88.03 : x
  2. Step 2: Convert to fraction form
    41.91/88.03 = 88.03/x
  3. Step 3: Cross multiply
    41.91x = 88.03 × 88.03
  4. Step 4: Simplify right side
    41.91x = 7,749.50
  5. Step 5: Solve for x
    x = 7,749.50/41.91
  6. Step 6: Final answer
    x = 184.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.