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Finding the Third Proportional to 11,139.75 and 24,769.94

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Solution

The third proportional to 11,139.75 and 24,769.94 is: 55,077.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,139.75 : 24,769.94 = 24,769.94 : x
  2. Step 2: Convert to fraction form
    11,139.75/24,769.94 = 24,769.94/x
  3. Step 3: Cross multiply
    11,139.75x = 24,769.94 × 24,769.94
  4. Step 4: Simplify right side
    11,139.75x = 613,549,803.75
  5. Step 5: Solve for x
    x = 613,549,803.75/11,139.75
  6. Step 6: Final answer
    x = 55,077.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.