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Finding the Third Proportional to 21.21 and 55.70

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Solution

The third proportional to 21.21 and 55.70 is: 146.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.21 : 55.70 = 55.70 : x
  2. Step 2: Convert to fraction form
    21.21/55.70 = 55.70/x
  3. Step 3: Cross multiply
    21.21x = 55.70 × 55.70
  4. Step 4: Simplify right side
    21.21x = 3,102.44
  5. Step 5: Solve for x
    x = 3,102.44/21.21
  6. Step 6: Final answer
    x = 146.27

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.