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Finding the Third Proportional to 10.04 and 21.65

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Solution

The third proportional to 10.04 and 21.65 is: 46.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.04 : 21.65 = 21.65 : x
  2. Step 2: Convert to fraction form
    10.04/21.65 = 21.65/x
  3. Step 3: Cross multiply
    10.04x = 21.65 × 21.65
  4. Step 4: Simplify right side
    10.04x = 468.90
  5. Step 5: Solve for x
    x = 468.90/10.04
  6. Step 6: Final answer
    x = 46.71

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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.