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Finding the Third Proportional to 14,698 and 22,050

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Solution

The third proportional to 14,698 and 22,050 is: 33,079.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,698 : 22,050 = 22,050 : x
  2. Step 2: Convert to fraction form
    14,698/22,050 = 22,050/x
  3. Step 3: Cross multiply
    14,698x = 22,050 × 22,050
  4. Step 4: Simplify right side
    14,698x = 486,202,500
  5. Step 5: Solve for x
    x = 486,202,500/14,698
  6. Step 6: Final answer
    x = 33,079.50

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Why These Related Problems?

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