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Finding the Third Proportional to 35.25 and 40.13

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Solution

The third proportional to 35.25 and 40.13 is: 45.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.25 : 40.13 = 40.13 : x
  2. Step 2: Convert to fraction form
    35.25/40.13 = 40.13/x
  3. Step 3: Cross multiply
    35.25x = 40.13 × 40.13
  4. Step 4: Simplify right side
    35.25x = 1,610.02
  5. Step 5: Solve for x
    x = 1,610.02/35.25
  6. Step 6: Final answer
    x = 45.67

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Why These Related Problems?

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