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Finding the Third Proportional to 25,106 and 49,582

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Solution

The third proportional to 25,106 and 49,582 is: 97,919.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,106 : 49,582 = 49,582 : x
  2. Step 2: Convert to fraction form
    25,106/49,582 = 49,582/x
  3. Step 3: Cross multiply
    25,106x = 49,582 × 49,582
  4. Step 4: Simplify right side
    25,106x = 2,458,374,724
  5. Step 5: Solve for x
    x = 2,458,374,724/25,106
  6. Step 6: Final answer
    x = 97,919.81

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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.