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Finding the Third Proportional to 20,705.25 and 27,586.13

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Solution

The third proportional to 20,705.25 and 27,586.13 is: 36,753.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.25 : 27,586.13 = 27,586.13 : x
  2. Step 2: Convert to fraction form
    20,705.25/27,586.13 = 27,586.13/x
  3. Step 3: Cross multiply
    20,705.25x = 27,586.13 × 27,586.13
  4. Step 4: Simplify right side
    20,705.25x = 760,994,292.52
  5. Step 5: Solve for x
    x = 760,994,292.52/20,705.25
  6. Step 6: Final answer
    x = 36,753.69

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.