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Finding the Third Proportional to 5,799.94 and 12,693.38

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Solution

The third proportional to 5,799.94 and 12,693.38 is: 27,779.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,799.94 : 12,693.38 = 12,693.38 : x
  2. Step 2: Convert to fraction form
    5,799.94/12,693.38 = 12,693.38/x
  3. Step 3: Cross multiply
    5,799.94x = 12,693.38 × 12,693.38
  4. Step 4: Simplify right side
    5,799.94x = 161,121,768.89
  5. Step 5: Solve for x
    x = 161,121,768.89/5,799.94
  6. Step 6: Final answer
    x = 27,779.91

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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.