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Finding the Third Proportional to 58.73 and 83.41

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Solution

The third proportional to 58.73 and 83.41 is: 118.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.73 : 83.41 = 83.41 : x
  2. Step 2: Convert to fraction form
    58.73/83.41 = 83.41/x
  3. Step 3: Cross multiply
    58.73x = 83.41 × 83.41
  4. Step 4: Simplify right side
    58.73x = 6,957.66
  5. Step 5: Solve for x
    x = 6,957.66/58.73
  6. Step 6: Final answer
    x = 118.46

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.