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Finding the Third Proportional to 2,348.06 and 4,958.06

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Solution

The third proportional to 2,348.06 and 4,958.06 is: 10,469.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.06 : 4,958.06 = 4,958.06 : x
  2. Step 2: Convert to fraction form
    2,348.06/4,958.06 = 4,958.06/x
  3. Step 3: Cross multiply
    2,348.06x = 4,958.06 × 4,958.06
  4. Step 4: Simplify right side
    2,348.06x = 24,582,383.75
  5. Step 5: Solve for x
    x = 24,582,383.75/2,348.06
  6. Step 6: Final answer
    x = 10,469.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.