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Finding the Third Proportional to 39,264 and 80,607

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Solution

The third proportional to 39,264 and 80,607 is: 165,482.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,264 : 80,607 = 80,607 : x
  2. Step 2: Convert to fraction form
    39,264/80,607 = 80,607/x
  3. Step 3: Cross multiply
    39,264x = 80,607 × 80,607
  4. Step 4: Simplify right side
    39,264x = 6,497,488,449
  5. Step 5: Solve for x
    x = 6,497,488,449/39,264
  6. Step 6: Final answer
    x = 165,482.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.