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Finding the Third Proportional to 27,300 and 57,881

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Solution

The third proportional to 27,300 and 57,881 is: 122,718.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,300 : 57,881 = 57,881 : x
  2. Step 2: Convert to fraction form
    27,300/57,881 = 57,881/x
  3. Step 3: Cross multiply
    27,300x = 57,881 × 57,881
  4. Step 4: Simplify right side
    27,300x = 3,350,210,161
  5. Step 5: Solve for x
    x = 3,350,210,161/27,300
  6. Step 6: Final answer
    x = 122,718.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.