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Finding the Third Proportional to 19,672 and 31,163

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Solution

The third proportional to 19,672 and 31,163 is: 49,366.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,672 : 31,163 = 31,163 : x
  2. Step 2: Convert to fraction form
    19,672/31,163 = 31,163/x
  3. Step 3: Cross multiply
    19,672x = 31,163 × 31,163
  4. Step 4: Simplify right side
    19,672x = 971,132,569
  5. Step 5: Solve for x
    x = 971,132,569/19,672
  6. Step 6: Final answer
    x = 49,366.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.