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Finding the Third Proportional to 2,853.35 and 4,425.26

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Solution

The third proportional to 2,853.35 and 4,425.26 is: 6,863.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.35 : 4,425.26 = 4,425.26 : x
  2. Step 2: Convert to fraction form
    2,853.35/4,425.26 = 4,425.26/x
  3. Step 3: Cross multiply
    2,853.35x = 4,425.26 × 4,425.26
  4. Step 4: Simplify right side
    2,853.35x = 19,582,906.71
  5. Step 5: Solve for x
    x = 19,582,906.71/2,853.35
  6. Step 6: Final answer
    x = 6,863.12

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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.