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Finding the Third Proportional to 19,486 and 31,381

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Solution

The third proportional to 19,486 and 31,381 is: 50,537.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,486 : 31,381 = 31,381 : x
  2. Step 2: Convert to fraction form
    19,486/31,381 = 31,381/x
  3. Step 3: Cross multiply
    19,486x = 31,381 × 31,381
  4. Step 4: Simplify right side
    19,486x = 984,767,161
  5. Step 5: Solve for x
    x = 984,767,161/19,486
  6. Step 6: Final answer
    x = 50,537.16

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.