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Finding the Third Proportional to 27,419 and 56,991

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Solution

The third proportional to 27,419 and 56,991 is: 118,457.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,419 : 56,991 = 56,991 : x
  2. Step 2: Convert to fraction form
    27,419/56,991 = 56,991/x
  3. Step 3: Cross multiply
    27,419x = 56,991 × 56,991
  4. Step 4: Simplify right side
    27,419x = 3,247,974,081
  5. Step 5: Solve for x
    x = 3,247,974,081/27,419
  6. Step 6: Final answer
    x = 118,457.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.