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Finding the Third Proportional to 27,394 and 36,419

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Solution

The third proportional to 27,394 and 36,419 is: 48,417.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,394 : 36,419 = 36,419 : x
  2. Step 2: Convert to fraction form
    27,394/36,419 = 36,419/x
  3. Step 3: Cross multiply
    27,394x = 36,419 × 36,419
  4. Step 4: Simplify right side
    27,394x = 1,326,343,561
  5. Step 5: Solve for x
    x = 1,326,343,561/27,394
  6. Step 6: Final answer
    x = 48,417.30

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.