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Finding the Third Proportional to 14,789 and 22,198.50

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Solution

The third proportional to 14,789 and 22,198.50 is: 33,320.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,789 : 22,198.50 = 22,198.50 : x
  2. Step 2: Convert to fraction form
    14,789/22,198.50 = 22,198.50/x
  3. Step 3: Cross multiply
    14,789x = 22,198.50 × 22,198.50
  4. Step 4: Simplify right side
    14,789x = 492,773,402.25
  5. Step 5: Solve for x
    x = 492,773,402.25/14,789
  6. Step 6: Final answer
    x = 33,320.27

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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.