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Finding the Third Proportional to 36,948 and 72,050

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Solution

The third proportional to 36,948 and 72,050 is: 140,500.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,948 : 72,050 = 72,050 : x
  2. Step 2: Convert to fraction form
    36,948/72,050 = 72,050/x
  3. Step 3: Cross multiply
    36,948x = 72,050 × 72,050
  4. Step 4: Simplify right side
    36,948x = 5,191,202,500
  5. Step 5: Solve for x
    x = 5,191,202,500/36,948
  6. Step 6: Final answer
    x = 140,500.23

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.