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Finding the Third Proportional to 23,069.81 and 49,759.31

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Solution

The third proportional to 23,069.81 and 49,759.31 is: 107,325.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,069.81 : 49,759.31 = 49,759.31 : x
  2. Step 2: Convert to fraction form
    23,069.81/49,759.31 = 49,759.31/x
  3. Step 3: Cross multiply
    23,069.81x = 49,759.31 × 49,759.31
  4. Step 4: Simplify right side
    23,069.81x = 2,475,989,180.47
  5. Step 5: Solve for x
    x = 2,475,989,180.47/23,069.81
  6. Step 6: Final answer
    x = 107,325.93

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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.