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Finding the Third Proportional to 23,011.31 and 49,645.13

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Solution

The third proportional to 23,011.31 and 49,645.13 is: 107,105.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,011.31 : 49,645.13 = 49,645.13 : x
  2. Step 2: Convert to fraction form
    23,011.31/49,645.13 = 49,645.13/x
  3. Step 3: Cross multiply
    23,011.31x = 49,645.13 × 49,645.13
  4. Step 4: Simplify right side
    23,011.31x = 2,464,638,436.27
  5. Step 5: Solve for x
    x = 2,464,638,436.27/23,011.31
  6. Step 6: Final answer
    x = 107,105.51

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