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Finding the Third Proportional to 21.62 and 46.62

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Solution

The third proportional to 21.62 and 46.62 is: 100.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.62 : 46.62 = 46.62 : x
  2. Step 2: Convert to fraction form
    21.62/46.62 = 46.62/x
  3. Step 3: Cross multiply
    21.62x = 46.62 × 46.62
  4. Step 4: Simplify right side
    21.62x = 2,173.16
  5. Step 5: Solve for x
    x = 2,173.16/21.62
  6. Step 6: Final answer
    x = 100.51

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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.