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Finding the Third Proportional to 27,417 and 59,793

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Solution

The third proportional to 27,417 and 59,793 is: 130,400.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,417 : 59,793 = 59,793 : x
  2. Step 2: Convert to fraction form
    27,417/59,793 = 59,793/x
  3. Step 3: Cross multiply
    27,417x = 59,793 × 59,793
  4. Step 4: Simplify right side
    27,417x = 3,575,202,849
  5. Step 5: Solve for x
    x = 3,575,202,849/27,417
  6. Step 6: Final answer
    x = 130,400.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.