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Finding the Third Proportional to 8,032.50 and 10,608.75

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Solution

The third proportional to 8,032.50 and 10,608.75 is: 14,011.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.50 : 10,608.75 = 10,608.75 : x
  2. Step 2: Convert to fraction form
    8,032.50/10,608.75 = 10,608.75/x
  3. Step 3: Cross multiply
    8,032.50x = 10,608.75 × 10,608.75
  4. Step 4: Simplify right side
    8,032.50x = 112,545,576.56
  5. Step 5: Solve for x
    x = 112,545,576.56/8,032.50
  6. Step 6: Final answer
    x = 14,011.28

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Why These Related Problems?

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