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Finding the Third Proportional to 4,634.72 and 6,207.89

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Solution

The third proportional to 4,634.72 and 6,207.89 is: 8,315.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634.72 : 6,207.89 = 6,207.89 : x
  2. Step 2: Convert to fraction form
    4,634.72/6,207.89 = 6,207.89/x
  3. Step 3: Cross multiply
    4,634.72x = 6,207.89 × 6,207.89
  4. Step 4: Simplify right side
    4,634.72x = 38,537,906.01
  5. Step 5: Solve for x
    x = 38,537,906.01/4,634.72
  6. Step 6: Final answer
    x = 8,315.05

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.