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Finding the Third Proportional to 27,947 and 59,893

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Solution

The third proportional to 27,947 and 59,893 is: 128,356.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,947 : 59,893 = 59,893 : x
  2. Step 2: Convert to fraction form
    27,947/59,893 = 59,893/x
  3. Step 3: Cross multiply
    27,947x = 59,893 × 59,893
  4. Step 4: Simplify right side
    27,947x = 3,587,171,449
  5. Step 5: Solve for x
    x = 3,587,171,449/27,947
  6. Step 6: Final answer
    x = 128,356.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.