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Finding the Third Proportional to 21.62 and 51.10

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Solution

The third proportional to 21.62 and 51.10 is: 120.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.62 : 51.10 = 51.10 : x
  2. Step 2: Convert to fraction form
    21.62/51.10 = 51.10/x
  3. Step 3: Cross multiply
    21.62x = 51.10 × 51.10
  4. Step 4: Simplify right side
    21.62x = 2,611.17
  5. Step 5: Solve for x
    x = 2,611.17/21.62
  6. Step 6: Final answer
    x = 120.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.