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Finding the Third Proportional to 40.34 and 74.94

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Solution

The third proportional to 40.34 and 74.94 is: 139.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.34 : 74.94 = 74.94 : x
  2. Step 2: Convert to fraction form
    40.34/74.94 = 74.94/x
  3. Step 3: Cross multiply
    40.34x = 74.94 × 74.94
  4. Step 4: Simplify right side
    40.34x = 5,615.34
  5. Step 5: Solve for x
    x = 5,615.34/40.34
  6. Step 6: Final answer
    x = 139.19

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.