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Finding the Third Proportional to 21.25 and 46.04

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Solution

The third proportional to 21.25 and 46.04 is: 99.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.25 : 46.04 = 46.04 : x
  2. Step 2: Convert to fraction form
    21.25/46.04 = 46.04/x
  3. Step 3: Cross multiply
    21.25x = 46.04 × 46.04
  4. Step 4: Simplify right side
    21.25x = 2,119.42
  5. Step 5: Solve for x
    x = 2,119.42/21.25
  6. Step 6: Final answer
    x = 99.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.