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Finding the Third Proportional to 23,253.75 and 49,619.25

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Solution

The third proportional to 23,253.75 and 49,619.25 is: 105,878.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,253.75 : 49,619.25 = 49,619.25 : x
  2. Step 2: Convert to fraction form
    23,253.75/49,619.25 = 49,619.25/x
  3. Step 3: Cross multiply
    23,253.75x = 49,619.25 × 49,619.25
  4. Step 4: Simplify right side
    23,253.75x = 2,462,069,970.56
  5. Step 5: Solve for x
    x = 2,462,069,970.56/23,253.75
  6. Step 6: Final answer
    x = 105,878.41

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.