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Finding the Third Proportional to 5,416.56 and 11,830.11

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Solution

The third proportional to 5,416.56 and 11,830.11 is: 25,837.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.56 : 11,830.11 = 11,830.11 : x
  2. Step 2: Convert to fraction form
    5,416.56/11,830.11 = 11,830.11/x
  3. Step 3: Cross multiply
    5,416.56x = 11,830.11 × 11,830.11
  4. Step 4: Simplify right side
    5,416.56x = 139,951,580.25
  5. Step 5: Solve for x
    x = 139,951,580.25/5,416.56
  6. Step 6: Final answer
    x = 25,837.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.