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Finding the Third Proportional to 12,334.50 and 26,639.25

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Solution

The third proportional to 12,334.50 and 26,639.25 is: 57,533.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,334.50 : 26,639.25 = 26,639.25 : x
  2. Step 2: Convert to fraction form
    12,334.50/26,639.25 = 26,639.25/x
  3. Step 3: Cross multiply
    12,334.50x = 26,639.25 × 26,639.25
  4. Step 4: Simplify right side
    12,334.50x = 709,649,640.56
  5. Step 5: Solve for x
    x = 709,649,640.56/12,334.50
  6. Step 6: Final answer
    x = 57,533.72

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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.