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Finding the Third Proportional to 28,590 and 38,194

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Solution

The third proportional to 28,590 and 38,194 is: 51,024.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,590 : 38,194 = 38,194 : x
  2. Step 2: Convert to fraction form
    28,590/38,194 = 38,194/x
  3. Step 3: Cross multiply
    28,590x = 38,194 × 38,194
  4. Step 4: Simplify right side
    28,590x = 1,458,781,636
  5. Step 5: Solve for x
    x = 1,458,781,636/28,590
  6. Step 6: Final answer
    x = 51,024.19

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.