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Finding the Third Proportional to 27,344 and 56,584

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Solution

The third proportional to 27,344 and 56,584 is: 117,091.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,344 : 56,584 = 56,584 : x
  2. Step 2: Convert to fraction form
    27,344/56,584 = 56,584/x
  3. Step 3: Cross multiply
    27,344x = 56,584 × 56,584
  4. Step 4: Simplify right side
    27,344x = 3,201,749,056
  5. Step 5: Solve for x
    x = 3,201,749,056/27,344
  6. Step 6: Final answer
    x = 117,091.47

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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.