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Finding the Third Proportional to 4,512.38 and 10,535.06

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Solution

The third proportional to 4,512.38 and 10,535.06 is: 24,596.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,512.38 : 10,535.06 = 10,535.06 : x
  2. Step 2: Convert to fraction form
    4,512.38/10,535.06 = 10,535.06/x
  3. Step 3: Cross multiply
    4,512.38x = 10,535.06 × 10,535.06
  4. Step 4: Simplify right side
    4,512.38x = 110,987,541.88
  5. Step 5: Solve for x
    x = 110,987,541.88/4,512.38
  6. Step 6: Final answer
    x = 24,596.26

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.