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Finding the Third Proportional to 11,589 and 25,025.63

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Solution

The third proportional to 11,589 and 25,025.63 is: 54,041.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589 : 25,025.63 = 25,025.63 : x
  2. Step 2: Convert to fraction form
    11,589/25,025.63 = 25,025.63/x
  3. Step 3: Cross multiply
    11,589x = 25,025.63 × 25,025.63
  4. Step 4: Simplify right side
    11,589x = 626,281,906.64
  5. Step 5: Solve for x
    x = 626,281,906.64/11,589
  6. Step 6: Final answer
    x = 54,041.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.