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Finding the Third Proportional to 11,786 and 16,218.75

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Solution

The third proportional to 11,786 and 16,218.75 is: 22,318.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786 : 16,218.75 = 16,218.75 : x
  2. Step 2: Convert to fraction form
    11,786/16,218.75 = 16,218.75/x
  3. Step 3: Cross multiply
    11,786x = 16,218.75 × 16,218.75
  4. Step 4: Simplify right side
    11,786x = 263,047,851.56
  5. Step 5: Solve for x
    x = 263,047,851.56/11,786
  6. Step 6: Final answer
    x = 22,318.67

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.