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Finding the Third Proportional to 10,767.75 and 16,152

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Solution

The third proportional to 10,767.75 and 16,152 is: 24,228.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.75 : 16,152 = 16,152 : x
  2. Step 2: Convert to fraction form
    10,767.75/16,152 = 16,152/x
  3. Step 3: Cross multiply
    10,767.75x = 16,152 × 16,152
  4. Step 4: Simplify right side
    10,767.75x = 260,887,104
  5. Step 5: Solve for x
    x = 260,887,104/10,767.75
  6. Step 6: Final answer
    x = 24,228.56

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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.