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Finding the Third Proportional to 25,616 and 52,497

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Solution

The third proportional to 25,616 and 52,497 is: 107,586.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,616 : 52,497 = 52,497 : x
  2. Step 2: Convert to fraction form
    25,616/52,497 = 52,497/x
  3. Step 3: Cross multiply
    25,616x = 52,497 × 52,497
  4. Step 4: Simplify right side
    25,616x = 2,755,935,009
  5. Step 5: Solve for x
    x = 2,755,935,009/25,616
  6. Step 6: Final answer
    x = 107,586.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.