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Finding the Third Proportional to 5,316.89 and 11,181.80

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Solution

The third proportional to 5,316.89 and 11,181.80 is: 23,516.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,316.89 : 11,181.80 = 11,181.80 : x
  2. Step 2: Convert to fraction form
    5,316.89/11,181.80 = 11,181.80/x
  3. Step 3: Cross multiply
    5,316.89x = 11,181.80 × 11,181.80
  4. Step 4: Simplify right side
    5,316.89x = 125,032,581.35
  5. Step 5: Solve for x
    x = 125,032,581.35/5,316.89
  6. Step 6: Final answer
    x = 23,516.11

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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.