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Finding the Third Proportional to 9,299 and 13,899

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Solution

The third proportional to 9,299 and 13,899 is: 20,774.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299 : 13,899 = 13,899 : x
  2. Step 2: Convert to fraction form
    9,299/13,899 = 13,899/x
  3. Step 3: Cross multiply
    9,299x = 13,899 × 13,899
  4. Step 4: Simplify right side
    9,299x = 193,182,201
  5. Step 5: Solve for x
    x = 193,182,201/9,299
  6. Step 6: Final answer
    x = 20,774.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.