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Finding the Third Proportional to 20,225.25 and 31,659

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Solution

The third proportional to 20,225.25 and 31,659 is: 49,556.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,225.25 : 31,659 = 31,659 : x
  2. Step 2: Convert to fraction form
    20,225.25/31,659 = 31,659/x
  3. Step 3: Cross multiply
    20,225.25x = 31,659 × 31,659
  4. Step 4: Simplify right side
    20,225.25x = 1,002,292,281
  5. Step 5: Solve for x
    x = 1,002,292,281/20,225.25
  6. Step 6: Final answer
    x = 49,556.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.