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Finding the Third Proportional to 18,802.13 and 23,950.69

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Solution

The third proportional to 18,802.13 and 23,950.69 is: 30,509.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,802.13 : 23,950.69 = 23,950.69 : x
  2. Step 2: Convert to fraction form
    18,802.13/23,950.69 = 23,950.69/x
  3. Step 3: Cross multiply
    18,802.13x = 23,950.69 × 23,950.69
  4. Step 4: Simplify right side
    18,802.13x = 573,635,431.72
  5. Step 5: Solve for x
    x = 573,635,431.72/18,802.13
  6. Step 6: Final answer
    x = 30,509.07

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.