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Finding the Third Proportional to 30,161.25 and 49,672.13

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Solution

The third proportional to 30,161.25 and 49,672.13 is: 81,804.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,161.25 : 49,672.13 = 49,672.13 : x
  2. Step 2: Convert to fraction form
    30,161.25/49,672.13 = 49,672.13/x
  3. Step 3: Cross multiply
    30,161.25x = 49,672.13 × 49,672.13
  4. Step 4: Simplify right side
    30,161.25x = 2,467,320,002.02
  5. Step 5: Solve for x
    x = 2,467,320,002.02/30,161.25
  6. Step 6: Final answer
    x = 81,804.30

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.