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Finding the Third Proportional to 27,410 and 57,684

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Solution

The third proportional to 27,410 and 57,684 is: 121,395.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,410 : 57,684 = 57,684 : x
  2. Step 2: Convert to fraction form
    27,410/57,684 = 57,684/x
  3. Step 3: Cross multiply
    27,410x = 57,684 × 57,684
  4. Step 4: Simplify right side
    27,410x = 3,327,443,856
  5. Step 5: Solve for x
    x = 3,327,443,856/27,410
  6. Step 6: Final answer
    x = 121,395.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.