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Finding the Third Proportional to 10,923.50 and 16,474.75

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Solution

The third proportional to 10,923.50 and 16,474.75 is: 24,847.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923.50 : 16,474.75 = 16,474.75 : x
  2. Step 2: Convert to fraction form
    10,923.50/16,474.75 = 16,474.75/x
  3. Step 3: Cross multiply
    10,923.50x = 16,474.75 × 16,474.75
  4. Step 4: Simplify right side
    10,923.50x = 271,417,387.56
  5. Step 5: Solve for x
    x = 271,417,387.56/10,923.50
  6. Step 6: Final answer
    x = 24,847.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.