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Finding the Third Proportional to 19,536 and 31,122

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Solution

The third proportional to 19,536 and 31,122 is: 49,579.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,536 : 31,122 = 31,122 : x
  2. Step 2: Convert to fraction form
    19,536/31,122 = 31,122/x
  3. Step 3: Cross multiply
    19,536x = 31,122 × 31,122
  4. Step 4: Simplify right side
    19,536x = 968,578,884
  5. Step 5: Solve for x
    x = 968,578,884/19,536
  6. Step 6: Final answer
    x = 49,579.18

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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.