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Finding the Third Proportional to 42.33 and 60.54

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Solution

The third proportional to 42.33 and 60.54 is: 86.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.33 : 60.54 = 60.54 : x
  2. Step 2: Convert to fraction form
    42.33/60.54 = 60.54/x
  3. Step 3: Cross multiply
    42.33x = 60.54 × 60.54
  4. Step 4: Simplify right side
    42.33x = 3,664.98
  5. Step 5: Solve for x
    x = 3,664.98/42.33
  6. Step 6: Final answer
    x = 86.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.