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Finding the Third Proportional to 10.03 and 20.63

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Solution

The third proportional to 10.03 and 20.63 is: 42.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.03 : 20.63 = 20.63 : x
  2. Step 2: Convert to fraction form
    10.03/20.63 = 20.63/x
  3. Step 3: Cross multiply
    10.03x = 20.63 × 20.63
  4. Step 4: Simplify right side
    10.03x = 425.39
  5. Step 5: Solve for x
    x = 425.39/10.03
  6. Step 6: Final answer
    x = 42.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.