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Finding the Third Proportional to 11,194.94 and 24,543.97

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Solution

The third proportional to 11,194.94 and 24,543.97 is: 53,810.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,194.94 : 24,543.97 = 24,543.97 : x
  2. Step 2: Convert to fraction form
    11,194.94/24,543.97 = 24,543.97/x
  3. Step 3: Cross multiply
    11,194.94x = 24,543.97 × 24,543.97
  4. Step 4: Simplify right side
    11,194.94x = 602,406,402.00
  5. Step 5: Solve for x
    x = 602,406,402.00/11,194.94
  6. Step 6: Final answer
    x = 53,810.61

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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.