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Finding the Third Proportional to 26,176 and 42,138

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Solution

The third proportional to 26,176 and 42,138 is: 67,833.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,176 : 42,138 = 42,138 : x
  2. Step 2: Convert to fraction form
    26,176/42,138 = 42,138/x
  3. Step 3: Cross multiply
    26,176x = 42,138 × 42,138
  4. Step 4: Simplify right side
    26,176x = 1,775,611,044
  5. Step 5: Solve for x
    x = 1,775,611,044/26,176
  6. Step 6: Final answer
    x = 67,833.55

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.