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Finding the Third Proportional to 16,658 and 35,524

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Solution

The third proportional to 16,658 and 35,524 is: 75,756.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,658 : 35,524 = 35,524 : x
  2. Step 2: Convert to fraction form
    16,658/35,524 = 35,524/x
  3. Step 3: Cross multiply
    16,658x = 35,524 × 35,524
  4. Step 4: Simplify right side
    16,658x = 1,261,954,576
  5. Step 5: Solve for x
    x = 1,261,954,576/16,658
  6. Step 6: Final answer
    x = 75,756.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.