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Finding the Third Proportional to 37,840.50 and 54,011.81

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Solution

The third proportional to 37,840.50 and 54,011.81 is: 77,094.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,840.50 : 54,011.81 = 54,011.81 : x
  2. Step 2: Convert to fraction form
    37,840.50/54,011.81 = 54,011.81/x
  3. Step 3: Cross multiply
    37,840.50x = 54,011.81 × 54,011.81
  4. Step 4: Simplify right side
    37,840.50x = 2,917,275,889.54
  5. Step 5: Solve for x
    x = 2,917,275,889.54/37,840.50
  6. Step 6: Final answer
    x = 77,094.01

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.