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Finding the Third Proportional to 11,085.19 and 23,947.31

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Solution

The third proportional to 11,085.19 and 23,947.31 is: 51,733.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,085.19 : 23,947.31 = 23,947.31 : x
  2. Step 2: Convert to fraction form
    11,085.19/23,947.31 = 23,947.31/x
  3. Step 3: Cross multiply
    11,085.19x = 23,947.31 × 23,947.31
  4. Step 4: Simplify right side
    11,085.19x = 573,473,775.97
  5. Step 5: Solve for x
    x = 573,473,775.97/11,085.19
  6. Step 6: Final answer
    x = 51,733.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.