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Finding the Third Proportional to 36,856.50 and 58,453.50

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Solution

The third proportional to 36,856.50 and 58,453.50 is: 92,705.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,856.50 : 58,453.50 = 58,453.50 : x
  2. Step 2: Convert to fraction form
    36,856.50/58,453.50 = 58,453.50/x
  3. Step 3: Cross multiply
    36,856.50x = 58,453.50 × 58,453.50
  4. Step 4: Simplify right side
    36,856.50x = 3,416,811,662.25
  5. Step 5: Solve for x
    x = 3,416,811,662.25/36,856.50
  6. Step 6: Final answer
    x = 92,705.81

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.