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Finding the Third Proportional to 37,004 and 79,921

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Solution

The third proportional to 37,004 and 79,921 is: 172,612.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,004 : 79,921 = 79,921 : x
  2. Step 2: Convert to fraction form
    37,004/79,921 = 79,921/x
  3. Step 3: Cross multiply
    37,004x = 79,921 × 79,921
  4. Step 4: Simplify right side
    37,004x = 6,387,366,241
  5. Step 5: Solve for x
    x = 6,387,366,241/37,004
  6. Step 6: Final answer
    x = 172,612.86

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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.