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Finding the Third Proportional to 5,883.19 and 12,584.25

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Solution

The third proportional to 5,883.19 and 12,584.25 is: 26,917.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883.19 : 12,584.25 = 12,584.25 : x
  2. Step 2: Convert to fraction form
    5,883.19/12,584.25 = 12,584.25/x
  3. Step 3: Cross multiply
    5,883.19x = 12,584.25 × 12,584.25
  4. Step 4: Simplify right side
    5,883.19x = 158,363,348.06
  5. Step 5: Solve for x
    x = 158,363,348.06/5,883.19
  6. Step 6: Final answer
    x = 26,917.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.