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Finding the Third Proportional to 482.20 and 1,037.02

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Solution

The third proportional to 482.20 and 1,037.02 is: 2,230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.20 : 1,037.02 = 1,037.02 : x
  2. Step 2: Convert to fraction form
    482.20/1,037.02 = 1,037.02/x
  3. Step 3: Cross multiply
    482.20x = 1,037.02 × 1,037.02
  4. Step 4: Simplify right side
    482.20x = 1,075,413.56
  5. Step 5: Solve for x
    x = 1,075,413.56/482.20
  6. Step 6: Final answer
    x = 2,230.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.