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Finding the Third Proportional to 5,809.50 and 12,732.50

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Solution

The third proportional to 5,809.50 and 12,732.50 is: 27,905.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.50 : 12,732.50 = 12,732.50 : x
  2. Step 2: Convert to fraction form
    5,809.50/12,732.50 = 12,732.50/x
  3. Step 3: Cross multiply
    5,809.50x = 12,732.50 × 12,732.50
  4. Step 4: Simplify right side
    5,809.50x = 162,116,556.25
  5. Step 5: Solve for x
    x = 162,116,556.25/5,809.50
  6. Step 6: Final answer
    x = 27,905.42

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