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Finding the Third Proportional to 19,278 and 26,034

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Solution

The third proportional to 19,278 and 26,034 is: 35,157.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,278 : 26,034 = 26,034 : x
  2. Step 2: Convert to fraction form
    19,278/26,034 = 26,034/x
  3. Step 3: Cross multiply
    19,278x = 26,034 × 26,034
  4. Step 4: Simplify right side
    19,278x = 677,769,156
  5. Step 5: Solve for x
    x = 677,769,156/19,278
  6. Step 6: Final answer
    x = 35,157.65

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.