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Finding the Third Proportional to 19,126 and 41,034

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Solution

The third proportional to 19,126 and 41,034 is: 88,036.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,126 : 41,034 = 41,034 : x
  2. Step 2: Convert to fraction form
    19,126/41,034 = 41,034/x
  3. Step 3: Cross multiply
    19,126x = 41,034 × 41,034
  4. Step 4: Simplify right side
    19,126x = 1,683,789,156
  5. Step 5: Solve for x
    x = 1,683,789,156/19,126
  6. Step 6: Final answer
    x = 88,036.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.