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Finding the Third Proportional to 45.98 and 67.71

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Solution

The third proportional to 45.98 and 67.71 is: 99.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.98 : 67.71 = 67.71 : x
  2. Step 2: Convert to fraction form
    45.98/67.71 = 67.71/x
  3. Step 3: Cross multiply
    45.98x = 67.71 × 67.71
  4. Step 4: Simplify right side
    45.98x = 4,584.77
  5. Step 5: Solve for x
    x = 4,584.77/45.98
  6. Step 6: Final answer
    x = 99.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.