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Finding the Third Proportional to 2,803.97 and 4,075.45

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Solution

The third proportional to 2,803.97 and 4,075.45 is: 5,923.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.97 : 4,075.45 = 4,075.45 : x
  2. Step 2: Convert to fraction form
    2,803.97/4,075.45 = 4,075.45/x
  3. Step 3: Cross multiply
    2,803.97x = 4,075.45 × 4,075.45
  4. Step 4: Simplify right side
    2,803.97x = 16,609,318.17
  5. Step 5: Solve for x
    x = 16,609,318.17/2,803.97
  6. Step 6: Final answer
    x = 5,923.50

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.