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Finding the Third Proportional to 4,505.63 and 10,524.38

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Solution

The third proportional to 4,505.63 and 10,524.38 is: 24,583.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,505.63 : 10,524.38 = 10,524.38 : x
  2. Step 2: Convert to fraction form
    4,505.63/10,524.38 = 10,524.38/x
  3. Step 3: Cross multiply
    4,505.63x = 10,524.38 × 10,524.38
  4. Step 4: Simplify right side
    4,505.63x = 110,762,469.14
  5. Step 5: Solve for x
    x = 110,762,469.14/4,505.63
  6. Step 6: Final answer
    x = 24,583.15

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.