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Finding the Third Proportional to 25,108 and 49,586

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Solution

The third proportional to 25,108 and 49,586 is: 97,927.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,108 : 49,586 = 49,586 : x
  2. Step 2: Convert to fraction form
    25,108/49,586 = 49,586/x
  3. Step 3: Cross multiply
    25,108x = 49,586 × 49,586
  4. Step 4: Simplify right side
    25,108x = 2,458,771,396
  5. Step 5: Solve for x
    x = 2,458,771,396/25,108
  6. Step 6: Final answer
    x = 97,927.81

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.