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Finding the Third Proportional to 16.70 and 26.95

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Solution

The third proportional to 16.70 and 26.95 is: 43.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.70 : 26.95 = 26.95 : x
  2. Step 2: Convert to fraction form
    16.70/26.95 = 26.95/x
  3. Step 3: Cross multiply
    16.70x = 26.95 × 26.95
  4. Step 4: Simplify right side
    16.70x = 726.23
  5. Step 5: Solve for x
    x = 726.23/16.70
  6. Step 6: Final answer
    x = 43.50

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.