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Finding the Third Proportional to 19,197 and 30,561

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Solution

The third proportional to 19,197 and 30,561 is: 48,652.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,197 : 30,561 = 30,561 : x
  2. Step 2: Convert to fraction form
    19,197/30,561 = 30,561/x
  3. Step 3: Cross multiply
    19,197x = 30,561 × 30,561
  4. Step 4: Simplify right side
    19,197x = 933,974,721
  5. Step 5: Solve for x
    x = 933,974,721/19,197
  6. Step 6: Final answer
    x = 48,652.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.