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Finding the Third Proportional to 2,335.08 and 5,108.70

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Solution

The third proportional to 2,335.08 and 5,108.70 is: 11,176.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.08 : 5,108.70 = 5,108.70 : x
  2. Step 2: Convert to fraction form
    2,335.08/5,108.70 = 5,108.70/x
  3. Step 3: Cross multiply
    2,335.08x = 5,108.70 × 5,108.70
  4. Step 4: Simplify right side
    2,335.08x = 26,098,767.80
  5. Step 5: Solve for x
    x = 26,098,767.80/2,335.08
  6. Step 6: Final answer
    x = 11,176.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.