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Finding the Third Proportional to 11,665.69 and 25,599.38

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Solution

The third proportional to 11,665.69 and 25,599.38 is: 56,175.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.69 : 25,599.38 = 25,599.38 : x
  2. Step 2: Convert to fraction form
    11,665.69/25,599.38 = 25,599.38/x
  3. Step 3: Cross multiply
    11,665.69x = 25,599.38 × 25,599.38
  4. Step 4: Simplify right side
    11,665.69x = 655,328,000.39
  5. Step 5: Solve for x
    x = 655,328,000.39/11,665.69
  6. Step 6: Final answer
    x = 56,175.69

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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.