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Finding the Third Proportional to 21,176 and 35,530

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Solution

The third proportional to 21,176 and 35,530 is: 59,613.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,176 : 35,530 = 35,530 : x
  2. Step 2: Convert to fraction form
    21,176/35,530 = 35,530/x
  3. Step 3: Cross multiply
    21,176x = 35,530 × 35,530
  4. Step 4: Simplify right side
    21,176x = 1,262,380,900
  5. Step 5: Solve for x
    x = 1,262,380,900/21,176
  6. Step 6: Final answer
    x = 59,613.76

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.