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Finding the Third Proportional to 27,420 and 56,993

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Solution

The third proportional to 27,420 and 56,993 is: 118,461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,420 : 56,993 = 56,993 : x
  2. Step 2: Convert to fraction form
    27,420/56,993 = 56,993/x
  3. Step 3: Cross multiply
    27,420x = 56,993 × 56,993
  4. Step 4: Simplify right side
    27,420x = 3,248,202,049
  5. Step 5: Solve for x
    x = 3,248,202,049/27,420
  6. Step 6: Final answer
    x = 118,461.05

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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.