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Finding the Third Proportional to 39,680 and 54,410

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Solution

The third proportional to 39,680 and 54,410 is: 74,608.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,680 : 54,410 = 54,410 : x
  2. Step 2: Convert to fraction form
    39,680/54,410 = 54,410/x
  3. Step 3: Cross multiply
    39,680x = 54,410 × 54,410
  4. Step 4: Simplify right side
    39,680x = 2,960,448,100
  5. Step 5: Solve for x
    x = 2,960,448,100/39,680
  6. Step 6: Final answer
    x = 74,608.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.