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Finding the Third Proportional to 2,965.36 and 4,425.26

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Solution

The third proportional to 2,965.36 and 4,425.26 is: 6,603.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.36 : 4,425.26 = 4,425.26 : x
  2. Step 2: Convert to fraction form
    2,965.36/4,425.26 = 4,425.26/x
  3. Step 3: Cross multiply
    2,965.36x = 4,425.26 × 4,425.26
  4. Step 4: Simplify right side
    2,965.36x = 19,582,906.71
  5. Step 5: Solve for x
    x = 19,582,906.71/2,965.36
  6. Step 6: Final answer
    x = 6,603.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.