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Finding the Third Proportional to 3,309.19 and 4,411.69

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Solution

The third proportional to 3,309.19 and 4,411.69 is: 5,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.19 : 4,411.69 = 4,411.69 : x
  2. Step 2: Convert to fraction form
    3,309.19/4,411.69 = 4,411.69/x
  3. Step 3: Cross multiply
    3,309.19x = 4,411.69 × 4,411.69
  4. Step 4: Simplify right side
    3,309.19x = 19,462,986.60
  5. Step 5: Solve for x
    x = 19,462,986.60/3,309.19
  6. Step 6: Final answer
    x = 5,881.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.