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Finding the Third Proportional to 27,823 and 60,101

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Solution

The third proportional to 27,823 and 60,101 is: 129,825.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,823 : 60,101 = 60,101 : x
  2. Step 2: Convert to fraction form
    27,823/60,101 = 60,101/x
  3. Step 3: Cross multiply
    27,823x = 60,101 × 60,101
  4. Step 4: Simplify right side
    27,823x = 3,612,130,201
  5. Step 5: Solve for x
    x = 3,612,130,201/27,823
  6. Step 6: Final answer
    x = 129,825.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.