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Finding the Third Proportional to 14,337 and 22,144.50

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Solution

The third proportional to 14,337 and 22,144.50 is: 34,203.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,337 : 22,144.50 = 22,144.50 : x
  2. Step 2: Convert to fraction form
    14,337/22,144.50 = 22,144.50/x
  3. Step 3: Cross multiply
    14,337x = 22,144.50 × 22,144.50
  4. Step 4: Simplify right side
    14,337x = 490,378,880.25
  5. Step 5: Solve for x
    x = 490,378,880.25/14,337
  6. Step 6: Final answer
    x = 34,203.73

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.