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Finding the Third Proportional to 37,977.19 and 58,811.06

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Solution

The third proportional to 37,977.19 and 58,811.06 is: 91,074.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,977.19 : 58,811.06 = 58,811.06 : x
  2. Step 2: Convert to fraction form
    37,977.19/58,811.06 = 58,811.06/x
  3. Step 3: Cross multiply
    37,977.19x = 58,811.06 × 58,811.06
  4. Step 4: Simplify right side
    37,977.19x = 3,458,741,072.38
  5. Step 5: Solve for x
    x = 3,458,741,072.38/37,977.19
  6. Step 6: Final answer
    x = 91,074.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.