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Finding the Third Proportional to 6,827.73 and 9,075.48

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Solution

The third proportional to 6,827.73 and 9,075.48 is: 12,063.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.73 : 9,075.48 = 9,075.48 : x
  2. Step 2: Convert to fraction form
    6,827.73/9,075.48 = 9,075.48/x
  3. Step 3: Cross multiply
    6,827.73x = 9,075.48 × 9,075.48
  4. Step 4: Simplify right side
    6,827.73x = 82,364,345.74
  5. Step 5: Solve for x
    x = 82,364,345.74/6,827.73
  6. Step 6: Final answer
    x = 12,063.21

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.