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Finding the Third Proportional to 36,492.75 and 78,612.56

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Solution

The third proportional to 36,492.75 and 78,612.56 is: 169,346.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,492.75 : 78,612.56 = 78,612.56 : x
  2. Step 2: Convert to fraction form
    36,492.75/78,612.56 = 78,612.56/x
  3. Step 3: Cross multiply
    36,492.75x = 78,612.56 × 78,612.56
  4. Step 4: Simplify right side
    36,492.75x = 6,179,934,982.82
  5. Step 5: Solve for x
    x = 6,179,934,982.82/36,492.75
  6. Step 6: Final answer
    x = 169,346.92

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.