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Finding the Third Proportional to 1.88 and 20.50

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Solution

The third proportional to 1.88 and 20.50 is: 224.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.88 : 20.50 = 20.50 : x
  2. Step 2: Convert to fraction form
    1.88/20.50 = 20.50/x
  3. Step 3: Cross multiply
    1.88x = 20.50 × 20.50
  4. Step 4: Simplify right side
    1.88x = 420.25
  5. Step 5: Solve for x
    x = 420.25/1.88
  6. Step 6: Final answer
    x = 224.13

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Why These Related Problems?

These problems maintain the same ratio (10.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.