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Finding the Third Proportional to 47,061 and 67,084.88

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Solution

The third proportional to 47,061 and 67,084.88 is: 95,628.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,061 : 67,084.88 = 67,084.88 : x
  2. Step 2: Convert to fraction form
    47,061/67,084.88 = 67,084.88/x
  3. Step 3: Cross multiply
    47,061x = 67,084.88 × 67,084.88
  4. Step 4: Simplify right side
    47,061x = 4,500,380,453.77
  5. Step 5: Solve for x
    x = 4,500,380,453.77/47,061
  6. Step 6: Final answer
    x = 95,628.66

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.