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Finding the Third Proportional to 14,024 and 20,914.50

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Solution

The third proportional to 14,024 and 20,914.50 is: 31,190.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,024 : 20,914.50 = 20,914.50 : x
  2. Step 2: Convert to fraction form
    14,024/20,914.50 = 20,914.50/x
  3. Step 3: Cross multiply
    14,024x = 20,914.50 × 20,914.50
  4. Step 4: Simplify right side
    14,024x = 437,416,310.25
  5. Step 5: Solve for x
    x = 437,416,310.25/14,024
  6. Step 6: Final answer
    x = 31,190.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.