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Finding the Third Proportional to 25,448 and 52,628

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Solution

The third proportional to 25,448 and 52,628 is: 108,837.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,448 : 52,628 = 52,628 : x
  2. Step 2: Convert to fraction form
    25,448/52,628 = 52,628/x
  3. Step 3: Cross multiply
    25,448x = 52,628 × 52,628
  4. Step 4: Simplify right side
    25,448x = 2,769,706,384
  5. Step 5: Solve for x
    x = 2,769,706,384/25,448
  6. Step 6: Final answer
    x = 108,837.88

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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.