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Finding the Third Proportional to 8,911.69 and 19,017.28

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Solution

The third proportional to 8,911.69 and 19,017.28 is: 40,582.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,911.69 : 19,017.28 = 19,017.28 : x
  2. Step 2: Convert to fraction form
    8,911.69/19,017.28 = 19,017.28/x
  3. Step 3: Cross multiply
    8,911.69x = 19,017.28 × 19,017.28
  4. Step 4: Simplify right side
    8,911.69x = 361,656,986.14
  5. Step 5: Solve for x
    x = 361,656,986.14/8,911.69
  6. Step 6: Final answer
    x = 40,582.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.