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Finding the Third Proportional to 11,018.19 and 24,223.38

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Solution

The third proportional to 11,018.19 and 24,223.38 is: 53,254.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,018.19 : 24,223.38 = 24,223.38 : x
  2. Step 2: Convert to fraction form
    11,018.19/24,223.38 = 24,223.38/x
  3. Step 3: Cross multiply
    11,018.19x = 24,223.38 × 24,223.38
  4. Step 4: Simplify right side
    11,018.19x = 586,771,896.39
  5. Step 5: Solve for x
    x = 586,771,896.39/11,018.19
  6. Step 6: Final answer
    x = 53,254.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.