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Finding the Third Proportional to 22,667.50 and 48,984.50

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Solution

The third proportional to 22,667.50 and 48,984.50 is: 105,855.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,667.50 : 48,984.50 = 48,984.50 : x
  2. Step 2: Convert to fraction form
    22,667.50/48,984.50 = 48,984.50/x
  3. Step 3: Cross multiply
    22,667.50x = 48,984.50 × 48,984.50
  4. Step 4: Simplify right side
    22,667.50x = 2,399,481,240.25
  5. Step 5: Solve for x
    x = 2,399,481,240.25/22,667.50
  6. Step 6: Final answer
    x = 105,855.57

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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.