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Finding the Third Proportional to 37,188.50 and 56,655

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Solution

The third proportional to 37,188.50 and 56,655 is: 86,311.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,188.50 : 56,655 = 56,655 : x
  2. Step 2: Convert to fraction form
    37,188.50/56,655 = 56,655/x
  3. Step 3: Cross multiply
    37,188.50x = 56,655 × 56,655
  4. Step 4: Simplify right side
    37,188.50x = 3,209,789,025
  5. Step 5: Solve for x
    x = 3,209,789,025/37,188.50
  6. Step 6: Final answer
    x = 86,311.33

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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.