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Finding the Third Proportional to 19,896 and 26,926

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Solution

The third proportional to 19,896 and 26,926 is: 36,439.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,896 : 26,926 = 26,926 : x
  2. Step 2: Convert to fraction form
    19,896/26,926 = 26,926/x
  3. Step 3: Cross multiply
    19,896x = 26,926 × 26,926
  4. Step 4: Simplify right side
    19,896x = 725,009,476
  5. Step 5: Solve for x
    x = 725,009,476/19,896
  6. Step 6: Final answer
    x = 36,439.96

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Why These Related Problems?

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