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Finding the Third Proportional to 52,584 and 76,828

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Solution

The third proportional to 52,584 and 76,828 is: 112,249.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,584 : 76,828 = 76,828 : x
  2. Step 2: Convert to fraction form
    52,584/76,828 = 76,828/x
  3. Step 3: Cross multiply
    52,584x = 76,828 × 76,828
  4. Step 4: Simplify right side
    52,584x = 5,902,541,584
  5. Step 5: Solve for x
    x = 5,902,541,584/52,584
  6. Step 6: Final answer
    x = 112,249.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.