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Finding the Third Proportional to 27,706 and 59,381

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Solution

The third proportional to 27,706 and 59,381 is: 127,268.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,706 : 59,381 = 59,381 : x
  2. Step 2: Convert to fraction form
    27,706/59,381 = 59,381/x
  3. Step 3: Cross multiply
    27,706x = 59,381 × 59,381
  4. Step 4: Simplify right side
    27,706x = 3,526,103,161
  5. Step 5: Solve for x
    x = 3,526,103,161/27,706
  6. Step 6: Final answer
    x = 127,268.58

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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.