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Finding the Third Proportional to 41.65 and 64.07

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Solution

The third proportional to 41.65 and 64.07 is: 98.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.65 : 64.07 = 64.07 : x
  2. Step 2: Convert to fraction form
    41.65/64.07 = 64.07/x
  3. Step 3: Cross multiply
    41.65x = 64.07 × 64.07
  4. Step 4: Simplify right side
    41.65x = 4,105.26
  5. Step 5: Solve for x
    x = 4,105.26/41.65
  6. Step 6: Final answer
    x = 98.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.