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Finding the Third Proportional to 41.65 and 91.30

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Solution

The third proportional to 41.65 and 91.30 is: 200.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.65 : 91.30 = 91.30 : x
  2. Step 2: Convert to fraction form
    41.65/91.30 = 91.30/x
  3. Step 3: Cross multiply
    41.65x = 91.30 × 91.30
  4. Step 4: Simplify right side
    41.65x = 8,336.23
  5. Step 5: Solve for x
    x = 8,336.23/41.65
  6. Step 6: Final answer
    x = 200.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.