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Finding the Third Proportional to 12,523.50 and 25,392.38

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Solution

The third proportional to 12,523.50 and 25,392.38 is: 51,485.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.50 : 25,392.38 = 25,392.38 : x
  2. Step 2: Convert to fraction form
    12,523.50/25,392.38 = 25,392.38/x
  3. Step 3: Cross multiply
    12,523.50x = 25,392.38 × 25,392.38
  4. Step 4: Simplify right side
    12,523.50x = 644,772,708.14
  5. Step 5: Solve for x
    x = 644,772,708.14/12,523.50
  6. Step 6: Final answer
    x = 51,485.02

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.