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Finding the Third Proportional to 27,284 and 59,642

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Solution

The third proportional to 27,284 and 59,642 is: 130,375.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,284 : 59,642 = 59,642 : x
  2. Step 2: Convert to fraction form
    27,284/59,642 = 59,642/x
  3. Step 3: Cross multiply
    27,284x = 59,642 × 59,642
  4. Step 4: Simplify right side
    27,284x = 3,557,168,164
  5. Step 5: Solve for x
    x = 3,557,168,164/27,284
  6. Step 6: Final answer
    x = 130,375.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.