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Finding the Third Proportional to 2,607.19 and 5,532.05

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Solution

The third proportional to 2,607.19 and 5,532.05 is: 11,738.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.19 : 5,532.05 = 5,532.05 : x
  2. Step 2: Convert to fraction form
    2,607.19/5,532.05 = 5,532.05/x
  3. Step 3: Cross multiply
    2,607.19x = 5,532.05 × 5,532.05
  4. Step 4: Simplify right side
    2,607.19x = 30,603,542.63
  5. Step 5: Solve for x
    x = 30,603,542.63/2,607.19
  6. Step 6: Final answer
    x = 11,738.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.