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Finding the Third Proportional to 37,074.94 and 57,455.44

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Solution

The third proportional to 37,074.94 and 57,455.44 is: 89,039.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,074.94 : 57,455.44 = 57,455.44 : x
  2. Step 2: Convert to fraction form
    37,074.94/57,455.44 = 57,455.44/x
  3. Step 3: Cross multiply
    37,074.94x = 57,455.44 × 57,455.44
  4. Step 4: Simplify right side
    37,074.94x = 3,301,127,298.32
  5. Step 5: Solve for x
    x = 3,301,127,298.32/37,074.94
  6. Step 6: Final answer
    x = 89,039.32

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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.