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Finding the Third Proportional to 19,846.69 and 30,763.13

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Solution

The third proportional to 19,846.69 and 30,763.13 is: 47,684.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,846.69 : 30,763.13 = 30,763.13 : x
  2. Step 2: Convert to fraction form
    19,846.69/30,763.13 = 30,763.13/x
  3. Step 3: Cross multiply
    19,846.69x = 30,763.13 × 30,763.13
  4. Step 4: Simplify right side
    19,846.69x = 946,369,859.77
  5. Step 5: Solve for x
    x = 946,369,859.77/19,846.69
  6. Step 6: Final answer
    x = 47,684.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.