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Finding the Third Proportional to 10,725.75 and 12,350.81

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Solution

The third proportional to 10,725.75 and 12,350.81 is: 14,222.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.75 : 12,350.81 = 12,350.81 : x
  2. Step 2: Convert to fraction form
    10,725.75/12,350.81 = 12,350.81/x
  3. Step 3: Cross multiply
    10,725.75x = 12,350.81 × 12,350.81
  4. Step 4: Simplify right side
    10,725.75x = 152,542,569.41
  5. Step 5: Solve for x
    x = 152,542,569.41/10,725.75
  6. Step 6: Final answer
    x = 14,222.09

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.