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Finding the Third Proportional to 4,524.75 and 5,963.63

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Solution

The third proportional to 4,524.75 and 5,963.63 is: 7,860.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,524.75 : 5,963.63 = 5,963.63 : x
  2. Step 2: Convert to fraction form
    4,524.75/5,963.63 = 5,963.63/x
  3. Step 3: Cross multiply
    4,524.75x = 5,963.63 × 5,963.63
  4. Step 4: Simplify right side
    4,524.75x = 35,564,823.14
  5. Step 5: Solve for x
    x = 35,564,823.14/4,524.75
  6. Step 6: Final answer
    x = 7,860.06

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.