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Finding the Third Proportional to 19,800 and 30,090

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Solution

The third proportional to 19,800 and 30,090 is: 45,727.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,800 : 30,090 = 30,090 : x
  2. Step 2: Convert to fraction form
    19,800/30,090 = 30,090/x
  3. Step 3: Cross multiply
    19,800x = 30,090 × 30,090
  4. Step 4: Simplify right side
    19,800x = 905,408,100
  5. Step 5: Solve for x
    x = 905,408,100/19,800
  6. Step 6: Final answer
    x = 45,727.68

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.