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Finding the Third Proportional to 19,649.11 and 27,776.39

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Solution

The third proportional to 19,649.11 and 27,776.39 is: 39,265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,649.11 : 27,776.39 = 27,776.39 : x
  2. Step 2: Convert to fraction form
    19,649.11/27,776.39 = 27,776.39/x
  3. Step 3: Cross multiply
    19,649.11x = 27,776.39 × 27,776.39
  4. Step 4: Simplify right side
    19,649.11x = 771,527,876.15
  5. Step 5: Solve for x
    x = 771,527,876.15/19,649.11
  6. Step 6: Final answer
    x = 39,265.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.