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Finding the Third Proportional to 37,722.56 and 56,968.50

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Solution

The third proportional to 37,722.56 and 56,968.50 is: 86,033.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,722.56 : 56,968.50 = 56,968.50 : x
  2. Step 2: Convert to fraction form
    37,722.56/56,968.50 = 56,968.50/x
  3. Step 3: Cross multiply
    37,722.56x = 56,968.50 × 56,968.50
  4. Step 4: Simplify right side
    37,722.56x = 3,245,409,992.25
  5. Step 5: Solve for x
    x = 3,245,409,992.25/37,722.56
  6. Step 6: Final answer
    x = 86,033.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.