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Finding the Third Proportional to 24,612.29 and 37,738.56

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Solution

The third proportional to 24,612.29 and 37,738.56 is: 57,865.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,612.29 : 37,738.56 = 37,738.56 : x
  2. Step 2: Convert to fraction form
    24,612.29/37,738.56 = 37,738.56/x
  3. Step 3: Cross multiply
    24,612.29x = 37,738.56 × 37,738.56
  4. Step 4: Simplify right side
    24,612.29x = 1,424,199,246.98
  5. Step 5: Solve for x
    x = 1,424,199,246.98/24,612.29
  6. Step 6: Final answer
    x = 57,865.36

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.