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Finding the Third Proportional to 10,533.75 and 24,324.38

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Solution

The third proportional to 10,533.75 and 24,324.38 is: 56,169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533.75 : 24,324.38 = 24,324.38 : x
  2. Step 2: Convert to fraction form
    10,533.75/24,324.38 = 24,324.38/x
  3. Step 3: Cross multiply
    10,533.75x = 24,324.38 × 24,324.38
  4. Step 4: Simplify right side
    10,533.75x = 591,675,219.14
  5. Step 5: Solve for x
    x = 591,675,219.14/10,533.75
  6. Step 6: Final answer
    x = 56,169.48

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.