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Finding the Third Proportional to 25,186 and 38,569

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Solution

The third proportional to 25,186 and 38,569 is: 59,063.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,186 : 38,569 = 38,569 : x
  2. Step 2: Convert to fraction form
    25,186/38,569 = 38,569/x
  3. Step 3: Cross multiply
    25,186x = 38,569 × 38,569
  4. Step 4: Simplify right side
    25,186x = 1,487,567,761
  5. Step 5: Solve for x
    x = 1,487,567,761/25,186
  6. Step 6: Final answer
    x = 59,063.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.