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Finding the Third Proportional to 37,046.25 and 56,477.25

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Solution

The third proportional to 37,046.25 and 56,477.25 is: 86,099.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,046.25 : 56,477.25 = 56,477.25 : x
  2. Step 2: Convert to fraction form
    37,046.25/56,477.25 = 56,477.25/x
  3. Step 3: Cross multiply
    37,046.25x = 56,477.25 × 56,477.25
  4. Step 4: Simplify right side
    37,046.25x = 3,189,679,767.56
  5. Step 5: Solve for x
    x = 3,189,679,767.56/37,046.25
  6. Step 6: Final answer
    x = 86,099.94

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.