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Finding the Third Proportional to 12,049.59 and 25,190.16

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Solution

The third proportional to 12,049.59 and 25,190.16 is: 52,661.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.59 : 25,190.16 = 25,190.16 : x
  2. Step 2: Convert to fraction form
    12,049.59/25,190.16 = 25,190.16/x
  3. Step 3: Cross multiply
    12,049.59x = 25,190.16 × 25,190.16
  4. Step 4: Simplify right side
    12,049.59x = 634,543,971.90
  5. Step 5: Solve for x
    x = 634,543,971.90/12,049.59
  6. Step 6: Final answer
    x = 52,661.03

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.