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Finding the Third Proportional to 47,245.78 and 68,074.17

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Solution

The third proportional to 47,245.78 and 68,074.17 is: 98,084.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,245.78 : 68,074.17 = 68,074.17 : x
  2. Step 2: Convert to fraction form
    47,245.78/68,074.17 = 68,074.17/x
  3. Step 3: Cross multiply
    47,245.78x = 68,074.17 × 68,074.17
  4. Step 4: Simplify right side
    47,245.78x = 4,634,092,876.47
  5. Step 5: Solve for x
    x = 4,634,092,876.47/47,245.78
  6. Step 6: Final answer
    x = 98,084.80

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.