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Finding the Third Proportional to 17,381.81 and 37,384.31

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Solution

The third proportional to 17,381.81 and 37,384.31 is: 80,405.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,381.81 : 37,384.31 = 37,384.31 : x
  2. Step 2: Convert to fraction form
    17,381.81/37,384.31 = 37,384.31/x
  3. Step 3: Cross multiply
    17,381.81x = 37,384.31 × 37,384.31
  4. Step 4: Simplify right side
    17,381.81x = 1,397,586,821.10
  5. Step 5: Solve for x
    x = 1,397,586,821.10/17,381.81
  6. Step 6: Final answer
    x = 80,405.13

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.