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Finding the Third Proportional to 19,387.41 and 40,415.06

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Solution

The third proportional to 19,387.41 and 40,415.06 is: 84,249.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,387.41 : 40,415.06 = 40,415.06 : x
  2. Step 2: Convert to fraction form
    19,387.41/40,415.06 = 40,415.06/x
  3. Step 3: Cross multiply
    19,387.41x = 40,415.06 × 40,415.06
  4. Step 4: Simplify right side
    19,387.41x = 1,633,377,276.88
  5. Step 5: Solve for x
    x = 1,633,377,276.88/19,387.41
  6. Step 6: Final answer
    x = 84,249.40

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.