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Finding the Third Proportional to 37,393 and 79,403

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Solution

The third proportional to 37,393 and 79,403 is: 168,610.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,393 : 79,403 = 79,403 : x
  2. Step 2: Convert to fraction form
    37,393/79,403 = 79,403/x
  3. Step 3: Cross multiply
    37,393x = 79,403 × 79,403
  4. Step 4: Simplify right side
    37,393x = 6,304,836,409
  5. Step 5: Solve for x
    x = 6,304,836,409/37,393
  6. Step 6: Final answer
    x = 168,610.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.