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Finding the Third Proportional to 42.47 and 67.22

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Solution

The third proportional to 42.47 and 67.22 is: 106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.47 : 67.22 = 67.22 : x
  2. Step 2: Convert to fraction form
    42.47/67.22 = 67.22/x
  3. Step 3: Cross multiply
    42.47x = 67.22 × 67.22
  4. Step 4: Simplify right side
    42.47x = 4,518.36
  5. Step 5: Solve for x
    x = 4,518.36/42.47
  6. Step 6: Final answer
    x = 106.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.