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Finding the Third Proportional to 38,611.69 and 90,203.63

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Solution

The third proportional to 38,611.69 and 90,203.63 is: 210,731.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,611.69 : 90,203.63 = 90,203.63 : x
  2. Step 2: Convert to fraction form
    38,611.69/90,203.63 = 90,203.63/x
  3. Step 3: Cross multiply
    38,611.69x = 90,203.63 × 90,203.63
  4. Step 4: Simplify right side
    38,611.69x = 8,136,693,963.14
  5. Step 5: Solve for x
    x = 8,136,693,963.14/38,611.69
  6. Step 6: Final answer
    x = 210,731.37

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.