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Finding the Third Proportional to 19,827 and 26,959.50

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Solution

The third proportional to 19,827 and 26,959.50 is: 36,657.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,827 : 26,959.50 = 26,959.50 : x
  2. Step 2: Convert to fraction form
    19,827/26,959.50 = 26,959.50/x
  3. Step 3: Cross multiply
    19,827x = 26,959.50 × 26,959.50
  4. Step 4: Simplify right side
    19,827x = 726,814,640.25
  5. Step 5: Solve for x
    x = 726,814,640.25/19,827
  6. Step 6: Final answer
    x = 36,657.82

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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.