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Finding the Third Proportional to 28,176 and 42,177

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Solution

The third proportional to 28,176 and 42,177 is: 63,135.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,176 : 42,177 = 42,177 : x
  2. Step 2: Convert to fraction form
    28,176/42,177 = 42,177/x
  3. Step 3: Cross multiply
    28,176x = 42,177 × 42,177
  4. Step 4: Simplify right side
    28,176x = 1,778,899,329
  5. Step 5: Solve for x
    x = 1,778,899,329/28,176
  6. Step 6: Final answer
    x = 63,135.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.