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Finding the Third Proportional to 50.14 and 70.06

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Solution

The third proportional to 50.14 and 70.06 is: 97.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.14 : 70.06 = 70.06 : x
  2. Step 2: Convert to fraction form
    50.14/70.06 = 70.06/x
  3. Step 3: Cross multiply
    50.14x = 70.06 × 70.06
  4. Step 4: Simplify right side
    50.14x = 4,908.93
  5. Step 5: Solve for x
    x = 4,908.93/50.14
  6. Step 6: Final answer
    x = 97.91

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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.