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Finding the Third Proportional to 5,781 and 13,309.50

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Solution

The third proportional to 5,781 and 13,309.50 is: 30,642.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781 : 13,309.50 = 13,309.50 : x
  2. Step 2: Convert to fraction form
    5,781/13,309.50 = 13,309.50/x
  3. Step 3: Cross multiply
    5,781x = 13,309.50 × 13,309.50
  4. Step 4: Simplify right side
    5,781x = 177,142,790.25
  5. Step 5: Solve for x
    x = 177,142,790.25/5,781
  6. Step 6: Final answer
    x = 30,642.24

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.