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Finding the Third Proportional to 5,605 and 12,015.50

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Solution

The third proportional to 5,605 and 12,015.50 is: 25,757.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605 : 12,015.50 = 12,015.50 : x
  2. Step 2: Convert to fraction form
    5,605/12,015.50 = 12,015.50/x
  3. Step 3: Cross multiply
    5,605x = 12,015.50 × 12,015.50
  4. Step 4: Simplify right side
    5,605x = 144,372,240.25
  5. Step 5: Solve for x
    x = 144,372,240.25/5,605
  6. Step 6: Final answer
    x = 25,757.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.