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Finding the Third Proportional to 27,038 and 58,074

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Solution

The third proportional to 27,038 and 58,074 is: 124,735.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,038 : 58,074 = 58,074 : x
  2. Step 2: Convert to fraction form
    27,038/58,074 = 58,074/x
  3. Step 3: Cross multiply
    27,038x = 58,074 × 58,074
  4. Step 4: Simplify right side
    27,038x = 3,372,589,476
  5. Step 5: Solve for x
    x = 3,372,589,476/27,038
  6. Step 6: Final answer
    x = 124,735.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.