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Finding the Third Proportional to 19,983 and 30,025

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Solution

The third proportional to 19,983 and 30,025 is: 45,113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,983 : 30,025 = 30,025 : x
  2. Step 2: Convert to fraction form
    19,983/30,025 = 30,025/x
  3. Step 3: Cross multiply
    19,983x = 30,025 × 30,025
  4. Step 4: Simplify right side
    19,983x = 901,500,625
  5. Step 5: Solve for x
    x = 901,500,625/19,983
  6. Step 6: Final answer
    x = 45,113.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.