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Finding the Third Proportional to 5,469.19 and 11,688.19

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Solution

The third proportional to 5,469.19 and 11,688.19 is: 24,978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.19 : 11,688.19 = 11,688.19 : x
  2. Step 2: Convert to fraction form
    5,469.19/11,688.19 = 11,688.19/x
  3. Step 3: Cross multiply
    5,469.19x = 11,688.19 × 11,688.19
  4. Step 4: Simplify right side
    5,469.19x = 136,613,727.04
  5. Step 5: Solve for x
    x = 136,613,727.04/5,469.19
  6. Step 6: Final answer
    x = 24,978.80

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