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Finding the Third Proportional to 27,422 and 56,786

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Solution

The third proportional to 27,422 and 56,786 is: 117,593.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,422 : 56,786 = 56,786 : x
  2. Step 2: Convert to fraction form
    27,422/56,786 = 56,786/x
  3. Step 3: Cross multiply
    27,422x = 56,786 × 56,786
  4. Step 4: Simplify right side
    27,422x = 3,224,649,796
  5. Step 5: Solve for x
    x = 3,224,649,796/27,422
  6. Step 6: Final answer
    x = 117,593.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.