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Finding the Third Proportional to 5,327.23 and 11,204.79

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Solution

The third proportional to 5,327.23 and 11,204.79 is: 23,567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,327.23 : 11,204.79 = 11,204.79 : x
  2. Step 2: Convert to fraction form
    5,327.23/11,204.79 = 11,204.79/x
  3. Step 3: Cross multiply
    5,327.23x = 11,204.79 × 11,204.79
  4. Step 4: Simplify right side
    5,327.23x = 125,547,297.94
  5. Step 5: Solve for x
    x = 125,547,297.94/5,327.23
  6. Step 6: Final answer
    x = 23,567.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.