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Finding the Third Proportional to 40,935.38 and 63,227.25

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Solution

The third proportional to 40,935.38 and 63,227.25 is: 97,658.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,935.38 : 63,227.25 = 63,227.25 : x
  2. Step 2: Convert to fraction form
    40,935.38/63,227.25 = 63,227.25/x
  3. Step 3: Cross multiply
    40,935.38x = 63,227.25 × 63,227.25
  4. Step 4: Simplify right side
    40,935.38x = 3,997,685,142.56
  5. Step 5: Solve for x
    x = 3,997,685,142.56/40,935.38
  6. Step 6: Final answer
    x = 97,658.45

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.