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Finding the Third Proportional to 19,781.72 and 26,847.70

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Solution

The third proportional to 19,781.72 and 26,847.70 is: 36,437.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,781.72 : 26,847.70 = 26,847.70 : x
  2. Step 2: Convert to fraction form
    19,781.72/26,847.70 = 26,847.70/x
  3. Step 3: Cross multiply
    19,781.72x = 26,847.70 × 26,847.70
  4. Step 4: Simplify right side
    19,781.72x = 720,799,163.09
  5. Step 5: Solve for x
    x = 720,799,163.09/19,781.72
  6. Step 6: Final answer
    x = 36,437.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.