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Finding the Third Proportional to 28.10 and 40.30

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Solution

The third proportional to 28.10 and 40.30 is: 57.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.10 : 40.30 = 40.30 : x
  2. Step 2: Convert to fraction form
    28.10/40.30 = 40.30/x
  3. Step 3: Cross multiply
    28.10x = 40.30 × 40.30
  4. Step 4: Simplify right side
    28.10x = 1,624.15
  5. Step 5: Solve for x
    x = 1,624.15/28.10
  6. Step 6: Final answer
    x = 57.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.