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Finding the Third Proportional to 25,108 and 49,584

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Solution

The third proportional to 25,108 and 49,584 is: 97,919.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,108 : 49,584 = 49,584 : x
  2. Step 2: Convert to fraction form
    25,108/49,584 = 49,584/x
  3. Step 3: Cross multiply
    25,108x = 49,584 × 49,584
  4. Step 4: Simplify right side
    25,108x = 2,458,573,056
  5. Step 5: Solve for x
    x = 2,458,573,056/25,108
  6. Step 6: Final answer
    x = 97,919.91

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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.