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Finding the Third Proportional to 27,381 and 59,412

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Solution

The third proportional to 27,381 and 59,412 is: 128,913.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,381 : 59,412 = 59,412 : x
  2. Step 2: Convert to fraction form
    27,381/59,412 = 59,412/x
  3. Step 3: Cross multiply
    27,381x = 59,412 × 59,412
  4. Step 4: Simplify right side
    27,381x = 3,529,785,744
  5. Step 5: Solve for x
    x = 3,529,785,744/27,381
  6. Step 6: Final answer
    x = 128,913.69

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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.