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Finding the Third Proportional to 17,974.41 and 37,384.03

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Solution

The third proportional to 17,974.41 and 37,384.03 is: 77,753.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,974.41 : 37,384.03 = 37,384.03 : x
  2. Step 2: Convert to fraction form
    17,974.41/37,384.03 = 37,384.03/x
  3. Step 3: Cross multiply
    17,974.41x = 37,384.03 × 37,384.03
  4. Step 4: Simplify right side
    17,974.41x = 1,397,565,792.50
  5. Step 5: Solve for x
    x = 1,397,565,792.50/17,974.41
  6. Step 6: Final answer
    x = 77,753.10

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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.