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Finding the Third Proportional to 9,302 and 13,039

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Solution

The third proportional to 9,302 and 13,039 is: 18,277.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302 : 13,039 = 13,039 : x
  2. Step 2: Convert to fraction form
    9,302/13,039 = 13,039/x
  3. Step 3: Cross multiply
    9,302x = 13,039 × 13,039
  4. Step 4: Simplify right side
    9,302x = 170,015,521
  5. Step 5: Solve for x
    x = 170,015,521/9,302
  6. Step 6: Final answer
    x = 18,277.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.