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Finding the Third Proportional to 40.31 and 45.94

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Solution

The third proportional to 40.31 and 45.94 is: 52.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.31 : 45.94 = 45.94 : x
  2. Step 2: Convert to fraction form
    40.31/45.94 = 45.94/x
  3. Step 3: Cross multiply
    40.31x = 45.94 × 45.94
  4. Step 4: Simplify right side
    40.31x = 2,110.25
  5. Step 5: Solve for x
    x = 2,110.25/40.31
  6. Step 6: Final answer
    x = 52.35

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.