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Finding the Third Proportional to 38,292.75 and 84,136.50

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Solution

The third proportional to 38,292.75 and 84,136.50 is: 184,863.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,292.75 : 84,136.50 = 84,136.50 : x
  2. Step 2: Convert to fraction form
    38,292.75/84,136.50 = 84,136.50/x
  3. Step 3: Cross multiply
    38,292.75x = 84,136.50 × 84,136.50
  4. Step 4: Simplify right side
    38,292.75x = 7,078,950,632.25
  5. Step 5: Solve for x
    x = 7,078,950,632.25/38,292.75
  6. Step 6: Final answer
    x = 184,863.99

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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.