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Finding the Third Proportional to 10.15 and 27.90

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Solution

The third proportional to 10.15 and 27.90 is: 76.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.15 : 27.90 = 27.90 : x
  2. Step 2: Convert to fraction form
    10.15/27.90 = 27.90/x
  3. Step 3: Cross multiply
    10.15x = 27.90 × 27.90
  4. Step 4: Simplify right side
    10.15x = 778.52
  5. Step 5: Solve for x
    x = 778.52/10.15
  6. Step 6: Final answer
    x = 76.73

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Why These Related Problems?

These problems maintain the same ratio (2.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.