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Finding the Third Proportional to 2,913.68 and 6,207.89

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Solution

The third proportional to 2,913.68 and 6,207.89 is: 13,226.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.68 : 6,207.89 = 6,207.89 : x
  2. Step 2: Convert to fraction form
    2,913.68/6,207.89 = 6,207.89/x
  3. Step 3: Cross multiply
    2,913.68x = 6,207.89 × 6,207.89
  4. Step 4: Simplify right side
    2,913.68x = 38,537,906.01
  5. Step 5: Solve for x
    x = 38,537,906.01/2,913.68
  6. Step 6: Final answer
    x = 13,226.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.