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Finding the Third Proportional to 47,661 and 70,680

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Solution

The third proportional to 47,661 and 70,680 is: 104,816.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,661 : 70,680 = 70,680 : x
  2. Step 2: Convert to fraction form
    47,661/70,680 = 70,680/x
  3. Step 3: Cross multiply
    47,661x = 70,680 × 70,680
  4. Step 4: Simplify right side
    47,661x = 4,995,662,400
  5. Step 5: Solve for x
    x = 4,995,662,400/47,661
  6. Step 6: Final answer
    x = 104,816.57

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.