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Finding the Third Proportional to 15,665 and 33,607

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Solution

The third proportional to 15,665 and 33,607 is: 72,098.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,665 : 33,607 = 33,607 : x
  2. Step 2: Convert to fraction form
    15,665/33,607 = 33,607/x
  3. Step 3: Cross multiply
    15,665x = 33,607 × 33,607
  4. Step 4: Simplify right side
    15,665x = 1,129,430,449
  5. Step 5: Solve for x
    x = 1,129,430,449/15,665
  6. Step 6: Final answer
    x = 72,098.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.