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Finding the Third Proportional to 10,764.75 and 16,146.75

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Solution

The third proportional to 10,764.75 and 16,146.75 is: 24,219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,764.75 : 16,146.75 = 16,146.75 : x
  2. Step 2: Convert to fraction form
    10,764.75/16,146.75 = 16,146.75/x
  3. Step 3: Cross multiply
    10,764.75x = 16,146.75 × 16,146.75
  4. Step 4: Simplify right side
    10,764.75x = 260,717,535.56
  5. Step 5: Solve for x
    x = 260,717,535.56/10,764.75
  6. Step 6: Final answer
    x = 24,219.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.