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Finding the Third Proportional to 17,822 and 38,497

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Solution

The third proportional to 17,822 and 38,497 is: 83,156.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,822 : 38,497 = 38,497 : x
  2. Step 2: Convert to fraction form
    17,822/38,497 = 38,497/x
  3. Step 3: Cross multiply
    17,822x = 38,497 × 38,497
  4. Step 4: Simplify right side
    17,822x = 1,482,019,009
  5. Step 5: Solve for x
    x = 1,482,019,009/17,822
  6. Step 6: Final answer
    x = 83,156.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.