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Finding the Third Proportional to 8,977.50 and 11,846.25

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Solution

The third proportional to 8,977.50 and 11,846.25 is: 15,631.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.50 : 11,846.25 = 11,846.25 : x
  2. Step 2: Convert to fraction form
    8,977.50/11,846.25 = 11,846.25/x
  3. Step 3: Cross multiply
    8,977.50x = 11,846.25 × 11,846.25
  4. Step 4: Simplify right side
    8,977.50x = 140,333,639.06
  5. Step 5: Solve for x
    x = 140,333,639.06/8,977.50
  6. Step 6: Final answer
    x = 15,631.71

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.