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Finding the Third Proportional to 5,026.43 and 6,609.73

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Solution

The third proportional to 5,026.43 and 6,609.73 is: 8,691.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,026.43 : 6,609.73 = 6,609.73 : x
  2. Step 2: Convert to fraction form
    5,026.43/6,609.73 = 6,609.73/x
  3. Step 3: Cross multiply
    5,026.43x = 6,609.73 × 6,609.73
  4. Step 4: Simplify right side
    5,026.43x = 43,688,485.23
  5. Step 5: Solve for x
    x = 43,688,485.23/5,026.43
  6. Step 6: Final answer
    x = 8,691.75

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.