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Finding the Third Proportional to 36,826 and 57,607.50

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Solution

The third proportional to 36,826 and 57,607.50 is: 90,116.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,826 : 57,607.50 = 57,607.50 : x
  2. Step 2: Convert to fraction form
    36,826/57,607.50 = 57,607.50/x
  3. Step 3: Cross multiply
    36,826x = 57,607.50 × 57,607.50
  4. Step 4: Simplify right side
    36,826x = 3,318,624,056.25
  5. Step 5: Solve for x
    x = 3,318,624,056.25/36,826
  6. Step 6: Final answer
    x = 90,116.33

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.