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Finding the Third Proportional to 8,632.67 and 19,008.11

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Solution

The third proportional to 8,632.67 and 19,008.11 is: 41,853.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,632.67 : 19,008.11 = 19,008.11 : x
  2. Step 2: Convert to fraction form
    8,632.67/19,008.11 = 19,008.11/x
  3. Step 3: Cross multiply
    8,632.67x = 19,008.11 × 19,008.11
  4. Step 4: Simplify right side
    8,632.67x = 361,308,073.51
  5. Step 5: Solve for x
    x = 361,308,073.51/8,632.67
  6. Step 6: Final answer
    x = 41,853.57

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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.