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Finding the Third Proportional to 19,958 and 47,025

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Solution

The third proportional to 19,958 and 47,025 is: 110,800.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,958 : 47,025 = 47,025 : x
  2. Step 2: Convert to fraction form
    19,958/47,025 = 47,025/x
  3. Step 3: Cross multiply
    19,958x = 47,025 × 47,025
  4. Step 4: Simplify right side
    19,958x = 2,211,350,625
  5. Step 5: Solve for x
    x = 2,211,350,625/19,958
  6. Step 6: Final answer
    x = 110,800.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.