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Finding the Third Proportional to 19,746 and 43,314

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Solution

The third proportional to 19,746 and 43,314 is: 95,011.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,746 : 43,314 = 43,314 : x
  2. Step 2: Convert to fraction form
    19,746/43,314 = 43,314/x
  3. Step 3: Cross multiply
    19,746x = 43,314 × 43,314
  4. Step 4: Simplify right side
    19,746x = 1,876,102,596
  5. Step 5: Solve for x
    x = 1,876,102,596/19,746
  6. Step 6: Final answer
    x = 95,011.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.