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Finding the Third Proportional to 36,663 and 58,276.50

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Solution

The third proportional to 36,663 and 58,276.50 is: 92,631.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,663 : 58,276.50 = 58,276.50 : x
  2. Step 2: Convert to fraction form
    36,663/58,276.50 = 58,276.50/x
  3. Step 3: Cross multiply
    36,663x = 58,276.50 × 58,276.50
  4. Step 4: Simplify right side
    36,663x = 3,396,150,452.25
  5. Step 5: Solve for x
    x = 3,396,150,452.25/36,663
  6. Step 6: Final answer
    x = 92,631.55

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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.