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Finding the Third Proportional to 2,195.44 and 3,411.28

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Solution

The third proportional to 2,195.44 and 3,411.28 is: 5,300.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.44 : 3,411.28 = 3,411.28 : x
  2. Step 2: Convert to fraction form
    2,195.44/3,411.28 = 3,411.28/x
  3. Step 3: Cross multiply
    2,195.44x = 3,411.28 × 3,411.28
  4. Step 4: Simplify right side
    2,195.44x = 11,636,839.77
  5. Step 5: Solve for x
    x = 11,636,839.77/2,195.44
  6. Step 6: Final answer
    x = 5,300.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.