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Finding the Third Proportional to 9,058 and 18,680

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Solution

The third proportional to 9,058 and 18,680 is: 38,523.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,058 : 18,680 = 18,680 : x
  2. Step 2: Convert to fraction form
    9,058/18,680 = 18,680/x
  3. Step 3: Cross multiply
    9,058x = 18,680 × 18,680
  4. Step 4: Simplify right side
    9,058x = 348,942,400
  5. Step 5: Solve for x
    x = 348,942,400/9,058
  6. Step 6: Final answer
    x = 38,523.12

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.