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Finding the Third Proportional to 23,100.19 and 49,887.14

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Solution

The third proportional to 23,100.19 and 49,887.14 is: 107,736.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,100.19 : 49,887.14 = 49,887.14 : x
  2. Step 2: Convert to fraction form
    23,100.19/49,887.14 = 49,887.14/x
  3. Step 3: Cross multiply
    23,100.19x = 49,887.14 × 49,887.14
  4. Step 4: Simplify right side
    23,100.19x = 2,488,726,799.74
  5. Step 5: Solve for x
    x = 2,488,726,799.74/23,100.19
  6. Step 6: Final answer
    x = 107,736.22

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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.