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Finding the Third Proportional to 10,299 and 11,595

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Solution

The third proportional to 10,299 and 11,595 is: 13,054.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299 : 11,595 = 11,595 : x
  2. Step 2: Convert to fraction form
    10,299/11,595 = 11,595/x
  3. Step 3: Cross multiply
    10,299x = 11,595 × 11,595
  4. Step 4: Simplify right side
    10,299x = 134,444,025
  5. Step 5: Solve for x
    x = 134,444,025/10,299
  6. Step 6: Final answer
    x = 13,054.09

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.