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Finding the Third Proportional to 27,652 and 62,596

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Solution

The third proportional to 27,652 and 62,596 is: 141,698.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,652 : 62,596 = 62,596 : x
  2. Step 2: Convert to fraction form
    27,652/62,596 = 62,596/x
  3. Step 3: Cross multiply
    27,652x = 62,596 × 62,596
  4. Step 4: Simplify right side
    27,652x = 3,918,259,216
  5. Step 5: Solve for x
    x = 3,918,259,216/27,652
  6. Step 6: Final answer
    x = 141,698.94

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.