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Finding the Third Proportional to 39,414.41 and 61,198.98

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Solution

The third proportional to 39,414.41 and 61,198.98 is: 95,024.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,414.41 : 61,198.98 = 61,198.98 : x
  2. Step 2: Convert to fraction form
    39,414.41/61,198.98 = 61,198.98/x
  3. Step 3: Cross multiply
    39,414.41x = 61,198.98 × 61,198.98
  4. Step 4: Simplify right side
    39,414.41x = 3,745,315,210.41
  5. Step 5: Solve for x
    x = 3,745,315,210.41/39,414.41
  6. Step 6: Final answer
    x = 95,024.01

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.