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Finding the Third Proportional to 37,327.50 and 56,396.25

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Solution

The third proportional to 37,327.50 and 56,396.25 is: 85,206.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,327.50 : 56,396.25 = 56,396.25 : x
  2. Step 2: Convert to fraction form
    37,327.50/56,396.25 = 56,396.25/x
  3. Step 3: Cross multiply
    37,327.50x = 56,396.25 × 56,396.25
  4. Step 4: Simplify right side
    37,327.50x = 3,180,537,014.06
  5. Step 5: Solve for x
    x = 3,180,537,014.06/37,327.50
  6. Step 6: Final answer
    x = 85,206.27

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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.