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Finding the Third Proportional to 8,373 and 17,607

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Solution

The third proportional to 8,373 and 17,607 is: 37,024.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,373 : 17,607 = 17,607 : x
  2. Step 2: Convert to fraction form
    8,373/17,607 = 17,607/x
  3. Step 3: Cross multiply
    8,373x = 17,607 × 17,607
  4. Step 4: Simplify right side
    8,373x = 310,006,449
  5. Step 5: Solve for x
    x = 310,006,449/8,373
  6. Step 6: Final answer
    x = 37,024.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.