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Finding the Third Proportional to 27,097 and 58,881

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Solution

The third proportional to 27,097 and 58,881 is: 127,946.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,097 : 58,881 = 58,881 : x
  2. Step 2: Convert to fraction form
    27,097/58,881 = 58,881/x
  3. Step 3: Cross multiply
    27,097x = 58,881 × 58,881
  4. Step 4: Simplify right side
    27,097x = 3,466,972,161
  5. Step 5: Solve for x
    x = 3,466,972,161/27,097
  6. Step 6: Final answer
    x = 127,946.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.