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Finding the Third Proportional to 37,697 and 79,269

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Solution

The third proportional to 37,697 and 79,269 is: 166,686.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,697 : 79,269 = 79,269 : x
  2. Step 2: Convert to fraction form
    37,697/79,269 = 79,269/x
  3. Step 3: Cross multiply
    37,697x = 79,269 × 79,269
  4. Step 4: Simplify right side
    37,697x = 6,283,574,361
  5. Step 5: Solve for x
    x = 6,283,574,361/37,697
  6. Step 6: Final answer
    x = 166,686.32

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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.