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Finding the Third Proportional to 40,857.75 and 87,970.50

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Solution

The third proportional to 40,857.75 and 87,970.50 is: 189,408.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,857.75 : 87,970.50 = 87,970.50 : x
  2. Step 2: Convert to fraction form
    40,857.75/87,970.50 = 87,970.50/x
  3. Step 3: Cross multiply
    40,857.75x = 87,970.50 × 87,970.50
  4. Step 4: Simplify right side
    40,857.75x = 7,738,808,870.25
  5. Step 5: Solve for x
    x = 7,738,808,870.25/40,857.75
  6. Step 6: Final answer
    x = 189,408.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.