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Finding the Third Proportional to 35,856.75 and 78,790.50

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Solution

The third proportional to 35,856.75 and 78,790.50 is: 173,131.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,856.75 : 78,790.50 = 78,790.50 : x
  2. Step 2: Convert to fraction form
    35,856.75/78,790.50 = 78,790.50/x
  3. Step 3: Cross multiply
    35,856.75x = 78,790.50 × 78,790.50
  4. Step 4: Simplify right side
    35,856.75x = 6,207,942,890.25
  5. Step 5: Solve for x
    x = 6,207,942,890.25/35,856.75
  6. Step 6: Final answer
    x = 173,131.78

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.