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Finding the Third Proportional to 40.50 and 56.38

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Solution

The third proportional to 40.50 and 56.38 is: 78.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.50 : 56.38 = 56.38 : x
  2. Step 2: Convert to fraction form
    40.50/56.38 = 56.38/x
  3. Step 3: Cross multiply
    40.50x = 56.38 × 56.38
  4. Step 4: Simplify right side
    40.50x = 3,178.14
  5. Step 5: Solve for x
    x = 3,178.14/40.50
  6. Step 6: Final answer
    x = 78.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.