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Finding the Third Proportional to 5,194.69 and 11,341.13

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Solution

The third proportional to 5,194.69 and 11,341.13 is: 24,760.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.69 : 11,341.13 = 11,341.13 : x
  2. Step 2: Convert to fraction form
    5,194.69/11,341.13 = 11,341.13/x
  3. Step 3: Cross multiply
    5,194.69x = 11,341.13 × 11,341.13
  4. Step 4: Simplify right side
    5,194.69x = 128,621,116.27
  5. Step 5: Solve for x
    x = 128,621,116.27/5,194.69
  6. Step 6: Final answer
    x = 24,760.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.