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Finding the Third Proportional to 20,919 and 46,050

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Solution

The third proportional to 20,919 and 46,050 is: 101,372.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,919 : 46,050 = 46,050 : x
  2. Step 2: Convert to fraction form
    20,919/46,050 = 46,050/x
  3. Step 3: Cross multiply
    20,919x = 46,050 × 46,050
  4. Step 4: Simplify right side
    20,919x = 2,120,602,500
  5. Step 5: Solve for x
    x = 2,120,602,500/20,919
  6. Step 6: Final answer
    x = 101,372.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.