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Finding the Third Proportional to 5,019.47 and 10,933.03

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Solution

The third proportional to 5,019.47 and 10,933.03 is: 23,813.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,019.47 : 10,933.03 = 10,933.03 : x
  2. Step 2: Convert to fraction form
    5,019.47/10,933.03 = 10,933.03/x
  3. Step 3: Cross multiply
    5,019.47x = 10,933.03 × 10,933.03
  4. Step 4: Simplify right side
    5,019.47x = 119,531,172.31
  5. Step 5: Solve for x
    x = 119,531,172.31/5,019.47
  6. Step 6: Final answer
    x = 23,813.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.