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Finding the Third Proportional to 18,060 and 43,514

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Solution

The third proportional to 18,060 and 43,514 is: 104,843.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,060 : 43,514 = 43,514 : x
  2. Step 2: Convert to fraction form
    18,060/43,514 = 43,514/x
  3. Step 3: Cross multiply
    18,060x = 43,514 × 43,514
  4. Step 4: Simplify right side
    18,060x = 1,893,468,196
  5. Step 5: Solve for x
    x = 1,893,468,196/18,060
  6. Step 6: Final answer
    x = 104,843.20

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.