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Finding the Third Proportional to 16,966.13 and 36,514.13

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Solution

The third proportional to 16,966.13 and 36,514.13 is: 78,584.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,966.13 : 36,514.13 = 36,514.13 : x
  2. Step 2: Convert to fraction form
    16,966.13/36,514.13 = 36,514.13/x
  3. Step 3: Cross multiply
    16,966.13x = 36,514.13 × 36,514.13
  4. Step 4: Simplify right side
    16,966.13x = 1,333,281,324.52
  5. Step 5: Solve for x
    x = 1,333,281,324.52/16,966.13
  6. Step 6: Final answer
    x = 78,584.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.