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Finding the Third Proportional to 10,725.75 and 16,407.75

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Solution

The third proportional to 10,725.75 and 16,407.75 is: 25,099.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.75 : 16,407.75 = 16,407.75 : x
  2. Step 2: Convert to fraction form
    10,725.75/16,407.75 = 16,407.75/x
  3. Step 3: Cross multiply
    10,725.75x = 16,407.75 × 16,407.75
  4. Step 4: Simplify right side
    10,725.75x = 269,214,260.06
  5. Step 5: Solve for x
    x = 269,214,260.06/10,725.75
  6. Step 6: Final answer
    x = 25,099.81

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.