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Finding the Third Proportional to 46.97 and 70.84

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Solution

The third proportional to 46.97 and 70.84 is: 106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.97 : 70.84 = 70.84 : x
  2. Step 2: Convert to fraction form
    46.97/70.84 = 70.84/x
  3. Step 3: Cross multiply
    46.97x = 70.84 × 70.84
  4. Step 4: Simplify right side
    46.97x = 5,018.84
  5. Step 5: Solve for x
    x = 5,018.84/46.97
  6. Step 6: Final answer
    x = 106.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.