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Finding the Third Proportional to 2,290.36 and 3,572.44

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Solution

The third proportional to 2,290.36 and 3,572.44 is: 5,572.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.36 : 3,572.44 = 3,572.44 : x
  2. Step 2: Convert to fraction form
    2,290.36/3,572.44 = 3,572.44/x
  3. Step 3: Cross multiply
    2,290.36x = 3,572.44 × 3,572.44
  4. Step 4: Simplify right side
    2,290.36x = 12,762,309.69
  5. Step 5: Solve for x
    x = 12,762,309.69/2,290.36
  6. Step 6: Final answer
    x = 5,572.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.