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Finding the Third Proportional to 53,504 and 71,579

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Solution

The third proportional to 53,504 and 71,579 is: 95,760.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,504 : 71,579 = 71,579 : x
  2. Step 2: Convert to fraction form
    53,504/71,579 = 71,579/x
  3. Step 3: Cross multiply
    53,504x = 71,579 × 71,579
  4. Step 4: Simplify right side
    53,504x = 5,123,553,241
  5. Step 5: Solve for x
    x = 5,123,553,241/53,504
  6. Step 6: Final answer
    x = 95,760.19

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.