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Finding the Third Proportional to 23,487.75 and 49,283.25

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Solution

The third proportional to 23,487.75 and 49,283.25 is: 103,408.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,487.75 : 49,283.25 = 49,283.25 : x
  2. Step 2: Convert to fraction form
    23,487.75/49,283.25 = 49,283.25/x
  3. Step 3: Cross multiply
    23,487.75x = 49,283.25 × 49,283.25
  4. Step 4: Simplify right side
    23,487.75x = 2,428,838,730.56
  5. Step 5: Solve for x
    x = 2,428,838,730.56/23,487.75
  6. Step 6: Final answer
    x = 103,408.74

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.