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Finding the Third Proportional to 8,374.50 and 20,274.75

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Solution

The third proportional to 8,374.50 and 20,274.75 is: 49,085.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.50 : 20,274.75 = 20,274.75 : x
  2. Step 2: Convert to fraction form
    8,374.50/20,274.75 = 20,274.75/x
  3. Step 3: Cross multiply
    8,374.50x = 20,274.75 × 20,274.75
  4. Step 4: Simplify right side
    8,374.50x = 411,065,487.56
  5. Step 5: Solve for x
    x = 411,065,487.56/8,374.50
  6. Step 6: Final answer
    x = 49,085.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.