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Finding the Third Proportional to 10.50 and 20.53

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Solution

The third proportional to 10.50 and 20.53 is: 40.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.50 : 20.53 = 20.53 : x
  2. Step 2: Convert to fraction form
    10.50/20.53 = 20.53/x
  3. Step 3: Cross multiply
    10.50x = 20.53 × 20.53
  4. Step 4: Simplify right side
    10.50x = 421.53
  5. Step 5: Solve for x
    x = 421.53/10.50
  6. Step 6: Final answer
    x = 40.15

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.