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Finding the Third Proportional to 6,273 and 6,826.50

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Solution

The third proportional to 6,273 and 6,826.50 is: 7,428.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,273 : 6,826.50 = 6,826.50 : x
  2. Step 2: Convert to fraction form
    6,273/6,826.50 = 6,826.50/x
  3. Step 3: Cross multiply
    6,273x = 6,826.50 × 6,826.50
  4. Step 4: Simplify right side
    6,273x = 46,601,102.25
  5. Step 5: Solve for x
    x = 46,601,102.25/6,273
  6. Step 6: Final answer
    x = 7,428.84

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.