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Finding the Third Proportional to 51.05 and 71.30

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Solution

The third proportional to 51.05 and 71.30 is: 99.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.05 : 71.30 = 71.30 : x
  2. Step 2: Convert to fraction form
    51.05/71.30 = 71.30/x
  3. Step 3: Cross multiply
    51.05x = 71.30 × 71.30
  4. Step 4: Simplify right side
    51.05x = 5,083.24
  5. Step 5: Solve for x
    x = 5,083.24/51.05
  6. Step 6: Final answer
    x = 99.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.