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Finding the Third Proportional to 23,685 and 54,837

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Solution

The third proportional to 23,685 and 54,837 is: 126,962.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,685 : 54,837 = 54,837 : x
  2. Step 2: Convert to fraction form
    23,685/54,837 = 54,837/x
  3. Step 3: Cross multiply
    23,685x = 54,837 × 54,837
  4. Step 4: Simplify right side
    23,685x = 3,007,096,569
  5. Step 5: Solve for x
    x = 3,007,096,569/23,685
  6. Step 6: Final answer
    x = 126,962.07

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.