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Finding the Third Proportional to 5,832.84 and 12,799.69

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Solution

The third proportional to 5,832.84 and 12,799.69 is: 28,087.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.84 : 12,799.69 = 12,799.69 : x
  2. Step 2: Convert to fraction form
    5,832.84/12,799.69 = 12,799.69/x
  3. Step 3: Cross multiply
    5,832.84x = 12,799.69 × 12,799.69
  4. Step 4: Simplify right side
    5,832.84x = 163,832,000.10
  5. Step 5: Solve for x
    x = 163,832,000.10/5,832.84
  6. Step 6: Final answer
    x = 28,087.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.