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Finding the Third Proportional to 11,235.59 and 24,223.11

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Solution

The third proportional to 11,235.59 and 24,223.11 is: 52,223.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,235.59 : 24,223.11 = 24,223.11 : x
  2. Step 2: Convert to fraction form
    11,235.59/24,223.11 = 24,223.11/x
  3. Step 3: Cross multiply
    11,235.59x = 24,223.11 × 24,223.11
  4. Step 4: Simplify right side
    11,235.59x = 586,759,217.04
  5. Step 5: Solve for x
    x = 586,759,217.04/11,235.59
  6. Step 6: Final answer
    x = 52,223.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.