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Finding the Third Proportional to 21.50 and 47.88

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Solution

The third proportional to 21.50 and 47.88 is: 106.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.50 : 47.88 = 47.88 : x
  2. Step 2: Convert to fraction form
    21.50/47.88 = 47.88/x
  3. Step 3: Cross multiply
    21.50x = 47.88 × 47.88
  4. Step 4: Simplify right side
    21.50x = 2,292.02
  5. Step 5: Solve for x
    x = 2,292.02/21.50
  6. Step 6: Final answer
    x = 106.61

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.