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Finding the Third Proportional to 27,419 and 58,996

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Solution

The third proportional to 27,419 and 58,996 is: 126,938.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,419 : 58,996 = 58,996 : x
  2. Step 2: Convert to fraction form
    27,419/58,996 = 58,996/x
  3. Step 3: Cross multiply
    27,419x = 58,996 × 58,996
  4. Step 4: Simplify right side
    27,419x = 3,480,528,016
  5. Step 5: Solve for x
    x = 3,480,528,016/27,419
  6. Step 6: Final answer
    x = 126,938.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.