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Finding the Third Proportional to 51.86 and 70.38

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Solution

The third proportional to 51.86 and 70.38 is: 95.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.86 : 70.38 = 70.38 : x
  2. Step 2: Convert to fraction form
    51.86/70.38 = 70.38/x
  3. Step 3: Cross multiply
    51.86x = 70.38 × 70.38
  4. Step 4: Simplify right side
    51.86x = 4,953.26
  5. Step 5: Solve for x
    x = 4,953.26/51.86
  6. Step 6: Final answer
    x = 95.51

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.