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Finding the Third Proportional to 20,025 and 31,147.50

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Solution

The third proportional to 20,025 and 31,147.50 is: 48,447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,025 : 31,147.50 = 31,147.50 : x
  2. Step 2: Convert to fraction form
    20,025/31,147.50 = 31,147.50/x
  3. Step 3: Cross multiply
    20,025x = 31,147.50 × 31,147.50
  4. Step 4: Simplify right side
    20,025x = 970,166,756.25
  5. Step 5: Solve for x
    x = 970,166,756.25/20,025
  6. Step 6: Final answer
    x = 48,447.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.