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Finding the Third Proportional to 10,752.75 and 16,606.69

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Solution

The third proportional to 10,752.75 and 16,606.69 is: 25,647.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,752.75 : 16,606.69 = 16,606.69 : x
  2. Step 2: Convert to fraction form
    10,752.75/16,606.69 = 16,606.69/x
  3. Step 3: Cross multiply
    10,752.75x = 16,606.69 × 16,606.69
  4. Step 4: Simplify right side
    10,752.75x = 275,782,069.72
  5. Step 5: Solve for x
    x = 275,782,069.72/10,752.75
  6. Step 6: Final answer
    x = 25,647.59

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