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Finding the Third Proportional to 9,134 and 13,058

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Solution

The third proportional to 9,134 and 13,058 is: 18,667.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134 : 13,058 = 13,058 : x
  2. Step 2: Convert to fraction form
    9,134/13,058 = 13,058/x
  3. Step 3: Cross multiply
    9,134x = 13,058 × 13,058
  4. Step 4: Simplify right side
    9,134x = 170,511,364
  5. Step 5: Solve for x
    x = 170,511,364/9,134
  6. Step 6: Final answer
    x = 18,667.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.