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Finding the Third Proportional to 20,688.75 and 27,965.25

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Solution

The third proportional to 20,688.75 and 27,965.25 is: 37,800.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,688.75 : 27,965.25 = 27,965.25 : x
  2. Step 2: Convert to fraction form
    20,688.75/27,965.25 = 27,965.25/x
  3. Step 3: Cross multiply
    20,688.75x = 27,965.25 × 27,965.25
  4. Step 4: Simplify right side
    20,688.75x = 782,055,207.56
  5. Step 5: Solve for x
    x = 782,055,207.56/20,688.75
  6. Step 6: Final answer
    x = 37,800.99

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.