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Finding the Third Proportional to 37,440.56 and 81,113.06

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Solution

The third proportional to 37,440.56 and 81,113.06 is: 175,727.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,440.56 : 81,113.06 = 81,113.06 : x
  2. Step 2: Convert to fraction form
    37,440.56/81,113.06 = 81,113.06/x
  3. Step 3: Cross multiply
    37,440.56x = 81,113.06 × 81,113.06
  4. Step 4: Simplify right side
    37,440.56x = 6,579,328,908.13
  5. Step 5: Solve for x
    x = 6,579,328,908.13/37,440.56
  6. Step 6: Final answer
    x = 175,727.30

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.