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Finding the Third Proportional to 47.06 and 68.72

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Solution

The third proportional to 47.06 and 68.72 is: 100.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.06 : 68.72 = 68.72 : x
  2. Step 2: Convert to fraction form
    47.06/68.72 = 68.72/x
  3. Step 3: Cross multiply
    47.06x = 68.72 × 68.72
  4. Step 4: Simplify right side
    47.06x = 4,722.27
  5. Step 5: Solve for x
    x = 4,722.27/47.06
  6. Step 6: Final answer
    x = 100.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.