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Finding the Third Proportional to 25,871 and 53,662

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Solution

The third proportional to 25,871 and 53,662 is: 111,306.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,871 : 53,662 = 53,662 : x
  2. Step 2: Convert to fraction form
    25,871/53,662 = 53,662/x
  3. Step 3: Cross multiply
    25,871x = 53,662 × 53,662
  4. Step 4: Simplify right side
    25,871x = 2,879,610,244
  5. Step 5: Solve for x
    x = 2,879,610,244/25,871
  6. Step 6: Final answer
    x = 111,306.49

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.