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Finding the Third Proportional to 9,015 and 13,279

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Solution

The third proportional to 9,015 and 13,279 is: 19,559.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,015 : 13,279 = 13,279 : x
  2. Step 2: Convert to fraction form
    9,015/13,279 = 13,279/x
  3. Step 3: Cross multiply
    9,015x = 13,279 × 13,279
  4. Step 4: Simplify right side
    9,015x = 176,331,841
  5. Step 5: Solve for x
    x = 176,331,841/9,015
  6. Step 6: Final answer
    x = 19,559.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.