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Finding the Third Proportional to 4,235.63 and 4,853.25

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Solution

The third proportional to 4,235.63 and 4,853.25 is: 5,560.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235.63 : 4,853.25 = 4,853.25 : x
  2. Step 2: Convert to fraction form
    4,235.63/4,853.25 = 4,853.25/x
  3. Step 3: Cross multiply
    4,235.63x = 4,853.25 × 4,853.25
  4. Step 4: Simplify right side
    4,235.63x = 23,554,035.56
  5. Step 5: Solve for x
    x = 23,554,035.56/4,235.63
  6. Step 6: Final answer
    x = 5,560.94

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.