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Finding the Third Proportional to 19.65 and 28.92

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Solution

The third proportional to 19.65 and 28.92 is: 42.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.65 : 28.92 = 28.92 : x
  2. Step 2: Convert to fraction form
    19.65/28.92 = 28.92/x
  3. Step 3: Cross multiply
    19.65x = 28.92 × 28.92
  4. Step 4: Simplify right side
    19.65x = 836.14
  5. Step 5: Solve for x
    x = 836.14/19.65
  6. Step 6: Final answer
    x = 42.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.