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Finding the Third Proportional to 11,746.69 and 18,181.13

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Solution

The third proportional to 11,746.69 and 18,181.13 is: 28,140.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,746.69 : 18,181.13 = 18,181.13 : x
  2. Step 2: Convert to fraction form
    11,746.69/18,181.13 = 18,181.13/x
  3. Step 3: Cross multiply
    11,746.69x = 18,181.13 × 18,181.13
  4. Step 4: Simplify right side
    11,746.69x = 330,553,306.27
  5. Step 5: Solve for x
    x = 330,553,306.27/11,746.69
  6. Step 6: Final answer
    x = 28,140.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.