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Finding the Third Proportional to 27,409 and 59,084

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Solution

The third proportional to 27,409 and 59,084 is: 127,363.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409 : 59,084 = 59,084 : x
  2. Step 2: Convert to fraction form
    27,409/59,084 = 59,084/x
  3. Step 3: Cross multiply
    27,409x = 59,084 × 59,084
  4. Step 4: Simplify right side
    27,409x = 3,490,919,056
  5. Step 5: Solve for x
    x = 3,490,919,056/27,409
  6. Step 6: Final answer
    x = 127,363.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.