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Finding the Third Proportional to 3,102.19 and 4,420.69

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Solution

The third proportional to 3,102.19 and 4,420.69 is: 6,299.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.19 : 4,420.69 = 4,420.69 : x
  2. Step 2: Convert to fraction form
    3,102.19/4,420.69 = 4,420.69/x
  3. Step 3: Cross multiply
    3,102.19x = 4,420.69 × 4,420.69
  4. Step 4: Simplify right side
    3,102.19x = 19,542,477.97
  5. Step 5: Solve for x
    x = 19,542,477.97/3,102.19
  6. Step 6: Final answer
    x = 6,299.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.