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Finding the Third Proportional to 51.42 and 72.30

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Solution

The third proportional to 51.42 and 72.30 is: 101.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.42 : 72.30 = 72.30 : x
  2. Step 2: Convert to fraction form
    51.42/72.30 = 72.30/x
  3. Step 3: Cross multiply
    51.42x = 72.30 × 72.30
  4. Step 4: Simplify right side
    51.42x = 5,227.12
  5. Step 5: Solve for x
    x = 5,227.12/51.42
  6. Step 6: Final answer
    x = 101.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.