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Finding the Third Proportional to 40.55 and 58.12

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Solution

The third proportional to 40.55 and 58.12 is: 83.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.55 : 58.12 = 58.12 : x
  2. Step 2: Convert to fraction form
    40.55/58.12 = 58.12/x
  3. Step 3: Cross multiply
    40.55x = 58.12 × 58.12
  4. Step 4: Simplify right side
    40.55x = 3,377.42
  5. Step 5: Solve for x
    x = 3,377.42/40.55
  6. Step 6: Final answer
    x = 83.30

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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.