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Finding the Third Proportional to 40,936.01 and 61,151.20

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Solution

The third proportional to 40,936.01 and 61,151.20 is: 91,349.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,936.01 : 61,151.20 = 61,151.20 : x
  2. Step 2: Convert to fraction form
    40,936.01/61,151.20 = 61,151.20/x
  3. Step 3: Cross multiply
    40,936.01x = 61,151.20 × 61,151.20
  4. Step 4: Simplify right side
    40,936.01x = 3,739,469,643.64
  5. Step 5: Solve for x
    x = 3,739,469,643.64/40,936.01
  6. Step 6: Final answer
    x = 91,349.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.