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Finding the Third Proportional to 37,410.19 and 81,052.31

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Solution

The third proportional to 37,410.19 and 81,052.31 is: 175,606.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,410.19 : 81,052.31 = 81,052.31 : x
  2. Step 2: Convert to fraction form
    37,410.19/81,052.31 = 81,052.31/x
  3. Step 3: Cross multiply
    37,410.19x = 81,052.31 × 81,052.31
  4. Step 4: Simplify right side
    37,410.19x = 6,569,477,361.60
  5. Step 5: Solve for x
    x = 6,569,477,361.60/37,410.19
  6. Step 6: Final answer
    x = 175,606.64

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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.