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Finding the Third Proportional to 36,943.59 and 54,105.47

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Solution

The third proportional to 36,943.59 and 54,105.47 is: 79,239.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,943.59 : 54,105.47 = 54,105.47 : x
  2. Step 2: Convert to fraction form
    36,943.59/54,105.47 = 54,105.47/x
  3. Step 3: Cross multiply
    36,943.59x = 54,105.47 × 54,105.47
  4. Step 4: Simplify right side
    36,943.59x = 2,927,401,748.66
  5. Step 5: Solve for x
    x = 2,927,401,748.66/36,943.59
  6. Step 6: Final answer
    x = 79,239.77

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.