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Finding the Third Proportional to 37,185.75 and 56,650.22

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Solution

The third proportional to 37,185.75 and 56,650.22 is: 86,303.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,185.75 : 56,650.22 = 56,650.22 : x
  2. Step 2: Convert to fraction form
    37,185.75/56,650.22 = 56,650.22/x
  3. Step 3: Cross multiply
    37,185.75x = 56,650.22 × 56,650.22
  4. Step 4: Simplify right side
    37,185.75x = 3,209,247,284.42
  5. Step 5: Solve for x
    x = 3,209,247,284.42/37,185.75
  6. Step 6: Final answer
    x = 86,303.15

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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.