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Finding the Third Proportional to 8,036.72 and 17,673.19

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Solution

The third proportional to 8,036.72 and 17,673.19 is: 38,864.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,036.72 : 17,673.19 = 17,673.19 : x
  2. Step 2: Convert to fraction form
    8,036.72/17,673.19 = 17,673.19/x
  3. Step 3: Cross multiply
    8,036.72x = 17,673.19 × 17,673.19
  4. Step 4: Simplify right side
    8,036.72x = 312,341,556.41
  5. Step 5: Solve for x
    x = 312,341,556.41/8,036.72
  6. Step 6: Final answer
    x = 38,864.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.