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Finding the Third Proportional to 19,126 and 28,690

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Solution

The third proportional to 19,126 and 28,690 is: 43,036.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,126 : 28,690 = 28,690 : x
  2. Step 2: Convert to fraction form
    19,126/28,690 = 28,690/x
  3. Step 3: Cross multiply
    19,126x = 28,690 × 28,690
  4. Step 4: Simplify right side
    19,126x = 823,116,100
  5. Step 5: Solve for x
    x = 823,116,100/19,126
  6. Step 6: Final answer
    x = 43,036.50

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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.