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Finding the Third Proportional to 5,887.69 and 12,380.34

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Solution

The third proportional to 5,887.69 and 12,380.34 is: 26,032.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,887.69 : 12,380.34 = 12,380.34 : x
  2. Step 2: Convert to fraction form
    5,887.69/12,380.34 = 12,380.34/x
  3. Step 3: Cross multiply
    5,887.69x = 12,380.34 × 12,380.34
  4. Step 4: Simplify right side
    5,887.69x = 153,272,911.37
  5. Step 5: Solve for x
    x = 153,272,911.37/5,887.69
  6. Step 6: Final answer
    x = 26,032.79

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