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Finding the Third Proportional to 20,402.50 and 26,011.75

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Solution

The third proportional to 20,402.50 and 26,011.75 is: 33,163.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,402.50 : 26,011.75 = 26,011.75 : x
  2. Step 2: Convert to fraction form
    20,402.50/26,011.75 = 26,011.75/x
  3. Step 3: Cross multiply
    20,402.50x = 26,011.75 × 26,011.75
  4. Step 4: Simplify right side
    20,402.50x = 676,611,138.06
  5. Step 5: Solve for x
    x = 676,611,138.06/20,402.50
  6. Step 6: Final answer
    x = 33,163.15

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.