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Finding the Third Proportional to 40.05 and 60.07

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Solution

The third proportional to 40.05 and 60.07 is: 90.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.05 : 60.07 = 60.07 : x
  2. Step 2: Convert to fraction form
    40.05/60.07 = 60.07/x
  3. Step 3: Cross multiply
    40.05x = 60.07 × 60.07
  4. Step 4: Simplify right side
    40.05x = 3,608.13
  5. Step 5: Solve for x
    x = 3,608.13/40.05
  6. Step 6: Final answer
    x = 90.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.