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Finding the Third Proportional to 37,303.75 and 57,846.75

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Solution

The third proportional to 37,303.75 and 57,846.75 is: 89,702.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,303.75 : 57,846.75 = 57,846.75 : x
  2. Step 2: Convert to fraction form
    37,303.75/57,846.75 = 57,846.75/x
  3. Step 3: Cross multiply
    37,303.75x = 57,846.75 × 57,846.75
  4. Step 4: Simplify right side
    37,303.75x = 3,346,246,485.56
  5. Step 5: Solve for x
    x = 3,346,246,485.56/37,303.75
  6. Step 6: Final answer
    x = 89,702.68

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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.