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Finding the Third Proportional to 5,354.31 and 11,699.60

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Solution

The third proportional to 5,354.31 and 11,699.60 is: 25,564.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.31 : 11,699.60 = 11,699.60 : x
  2. Step 2: Convert to fraction form
    5,354.31/11,699.60 = 11,699.60/x
  3. Step 3: Cross multiply
    5,354.31x = 11,699.60 × 11,699.60
  4. Step 4: Simplify right side
    5,354.31x = 136,880,539.62
  5. Step 5: Solve for x
    x = 136,880,539.62/5,354.31
  6. Step 6: Final answer
    x = 25,564.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.