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Finding the Third Proportional to 37,943.44 and 56,705.06

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Solution

The third proportional to 37,943.44 and 56,705.06 is: 84,743.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,943.44 : 56,705.06 = 56,705.06 : x
  2. Step 2: Convert to fraction form
    37,943.44/56,705.06 = 56,705.06/x
  3. Step 3: Cross multiply
    37,943.44x = 56,705.06 × 56,705.06
  4. Step 4: Simplify right side
    37,943.44x = 3,215,464,113.13
  5. Step 5: Solve for x
    x = 3,215,464,113.13/37,943.44
  6. Step 6: Final answer
    x = 84,743.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.