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Finding the Third Proportional to 23,347.88 and 49,976.25

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Solution

The third proportional to 23,347.88 and 49,976.25 is: 106,974.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,347.88 : 49,976.25 = 49,976.25 : x
  2. Step 2: Convert to fraction form
    23,347.88/49,976.25 = 49,976.25/x
  3. Step 3: Cross multiply
    23,347.88x = 49,976.25 × 49,976.25
  4. Step 4: Simplify right side
    23,347.88x = 2,497,625,564.06
  5. Step 5: Solve for x
    x = 2,497,625,564.06/23,347.88
  6. Step 6: Final answer
    x = 106,974.43

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.