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Finding the Third Proportional to 11,467.13 and 24,312.38

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Solution

The third proportional to 11,467.13 and 24,312.38 is: 51,546.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,467.13 : 24,312.38 = 24,312.38 : x
  2. Step 2: Convert to fraction form
    11,467.13/24,312.38 = 24,312.38/x
  3. Step 3: Cross multiply
    11,467.13x = 24,312.38 × 24,312.38
  4. Step 4: Simplify right side
    11,467.13x = 591,091,578.14
  5. Step 5: Solve for x
    x = 591,091,578.14/11,467.13
  6. Step 6: Final answer
    x = 51,546.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.