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Finding the Third Proportional to 18,852.75 and 37,229.63

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Solution

The third proportional to 18,852.75 and 37,229.63 is: 73,519.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,852.75 : 37,229.63 = 37,229.63 : x
  2. Step 2: Convert to fraction form
    18,852.75/37,229.63 = 37,229.63/x
  3. Step 3: Cross multiply
    18,852.75x = 37,229.63 × 37,229.63
  4. Step 4: Simplify right side
    18,852.75x = 1,386,044,977.64
  5. Step 5: Solve for x
    x = 1,386,044,977.64/18,852.75
  6. Step 6: Final answer
    x = 73,519.51

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.