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Finding the Third Proportional to 5,354.16 and 11,627.16

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Solution

The third proportional to 5,354.16 and 11,627.16 is: 25,249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.16 : 11,627.16 = 11,627.16 : x
  2. Step 2: Convert to fraction form
    5,354.16/11,627.16 = 11,627.16/x
  3. Step 3: Cross multiply
    5,354.16x = 11,627.16 × 11,627.16
  4. Step 4: Simplify right side
    5,354.16x = 135,190,762.46
  5. Step 5: Solve for x
    x = 135,190,762.46/5,354.16
  6. Step 6: Final answer
    x = 25,249.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.