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Finding the Third Proportional to 17,997.19 and 47,407.78

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Solution

The third proportional to 17,997.19 and 47,407.78 is: 124,880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,997.19 : 47,407.78 = 47,407.78 : x
  2. Step 2: Convert to fraction form
    17,997.19/47,407.78 = 47,407.78/x
  3. Step 3: Cross multiply
    17,997.19x = 47,407.78 × 47,407.78
  4. Step 4: Simplify right side
    17,997.19x = 2,247,497,723.05
  5. Step 5: Solve for x
    x = 2,247,497,723.05/17,997.19
  6. Step 6: Final answer
    x = 124,880.50

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.