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Finding the Third Proportional to 40.45 and 87.23

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Solution

The third proportional to 40.45 and 87.23 is: 188.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.45 : 87.23 = 87.23 : x
  2. Step 2: Convert to fraction form
    40.45/87.23 = 87.23/x
  3. Step 3: Cross multiply
    40.45x = 87.23 × 87.23
  4. Step 4: Simplify right side
    40.45x = 7,609.84
  5. Step 5: Solve for x
    x = 7,609.84/40.45
  6. Step 6: Final answer
    x = 188.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.