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Finding the Third Proportional to 10,965.38 and 24,021.56

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Solution

The third proportional to 10,965.38 and 24,021.56 is: 52,623.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965.38 : 24,021.56 = 24,021.56 : x
  2. Step 2: Convert to fraction form
    10,965.38/24,021.56 = 24,021.56/x
  3. Step 3: Cross multiply
    10,965.38x = 24,021.56 × 24,021.56
  4. Step 4: Simplify right side
    10,965.38x = 577,035,464.94
  5. Step 5: Solve for x
    x = 577,035,464.94/10,965.38
  6. Step 6: Final answer
    x = 52,623.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.