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Finding the Third Proportional to 51.26 and 70.48

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Solution

The third proportional to 51.26 and 70.48 is: 96.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.26 : 70.48 = 70.48 : x
  2. Step 2: Convert to fraction form
    51.26/70.48 = 70.48/x
  3. Step 3: Cross multiply
    51.26x = 70.48 × 70.48
  4. Step 4: Simplify right side
    51.26x = 4,967.36
  5. Step 5: Solve for x
    x = 4,967.36/51.26
  6. Step 6: Final answer
    x = 96.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.