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Finding the Third Proportional to 30,826 and 57,278

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Solution

The third proportional to 30,826 and 57,278 is: 106,428.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,826 : 57,278 = 57,278 : x
  2. Step 2: Convert to fraction form
    30,826/57,278 = 57,278/x
  3. Step 3: Cross multiply
    30,826x = 57,278 × 57,278
  4. Step 4: Simplify right side
    30,826x = 3,280,769,284
  5. Step 5: Solve for x
    x = 3,280,769,284/30,826
  6. Step 6: Final answer
    x = 106,428.64

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.