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Finding the Third Proportional to 27,290 and 38,607

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Solution

The third proportional to 27,290 and 38,607 is: 54,617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,290 : 38,607 = 38,607 : x
  2. Step 2: Convert to fraction form
    27,290/38,607 = 38,607/x
  3. Step 3: Cross multiply
    27,290x = 38,607 × 38,607
  4. Step 4: Simplify right side
    27,290x = 1,490,500,449
  5. Step 5: Solve for x
    x = 1,490,500,449/27,290
  6. Step 6: Final answer
    x = 54,617.09

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.