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Finding the Third Proportional to 35,856.50 and 78,790

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Solution

The third proportional to 35,856.50 and 78,790 is: 173,130.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,856.50 : 78,790 = 78,790 : x
  2. Step 2: Convert to fraction form
    35,856.50/78,790 = 78,790/x
  3. Step 3: Cross multiply
    35,856.50x = 78,790 × 78,790
  4. Step 4: Simplify right side
    35,856.50x = 6,207,864,100
  5. Step 5: Solve for x
    x = 6,207,864,100/35,856.50
  6. Step 6: Final answer
    x = 173,130.79

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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.