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Finding the Third Proportional to 10,752.75 and 16,608.38

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Solution

The third proportional to 10,752.75 and 16,608.38 is: 25,652.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,752.75 : 16,608.38 = 16,608.38 : x
  2. Step 2: Convert to fraction form
    10,752.75/16,608.38 = 16,608.38/x
  3. Step 3: Cross multiply
    10,752.75x = 16,608.38 × 16,608.38
  4. Step 4: Simplify right side
    10,752.75x = 275,838,120.14
  5. Step 5: Solve for x
    x = 275,838,120.14/10,752.75
  6. Step 6: Final answer
    x = 25,652.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.