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Finding the Third Proportional to 5,884.21 and 12,840.08

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Solution

The third proportional to 5,884.21 and 12,840.08 is: 28,018.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.21 : 12,840.08 = 12,840.08 : x
  2. Step 2: Convert to fraction form
    5,884.21/12,840.08 = 12,840.08/x
  3. Step 3: Cross multiply
    5,884.21x = 12,840.08 × 12,840.08
  4. Step 4: Simplify right side
    5,884.21x = 164,867,706.57
  5. Step 5: Solve for x
    x = 164,867,706.57/5,884.21
  6. Step 6: Final answer
    x = 28,018.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.