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Finding the Third Proportional to 2,883.73 and 6,306.61

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Solution

The third proportional to 2,883.73 and 6,306.61 is: 13,792.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.73 : 6,306.61 = 6,306.61 : x
  2. Step 2: Convert to fraction form
    2,883.73/6,306.61 = 6,306.61/x
  3. Step 3: Cross multiply
    2,883.73x = 6,306.61 × 6,306.61
  4. Step 4: Simplify right side
    2,883.73x = 39,773,321.81
  5. Step 5: Solve for x
    x = 39,773,321.81/2,883.73
  6. Step 6: Final answer
    x = 13,792.33

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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.