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Finding the Third Proportional to 19,823 and 26,427

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Solution

The third proportional to 19,823 and 26,427 is: 35,231.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,823 : 26,427 = 26,427 : x
  2. Step 2: Convert to fraction form
    19,823/26,427 = 26,427/x
  3. Step 3: Cross multiply
    19,823x = 26,427 × 26,427
  4. Step 4: Simplify right side
    19,823x = 698,386,329
  5. Step 5: Solve for x
    x = 698,386,329/19,823
  6. Step 6: Final answer
    x = 35,231.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.