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Finding the Third Proportional to 18,644.63 and 39,448.69

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Solution

The third proportional to 18,644.63 and 39,448.69 is: 83,466.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,644.63 : 39,448.69 = 39,448.69 : x
  2. Step 2: Convert to fraction form
    18,644.63/39,448.69 = 39,448.69/x
  3. Step 3: Cross multiply
    18,644.63x = 39,448.69 × 39,448.69
  4. Step 4: Simplify right side
    18,644.63x = 1,556,198,945.47
  5. Step 5: Solve for x
    x = 1,556,198,945.47/18,644.63
  6. Step 6: Final answer
    x = 83,466.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.