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Finding the Third Proportional to 483.05 and 1,053.42

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Solution

The third proportional to 483.05 and 1,053.42 is: 2,297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.05 : 1,053.42 = 1,053.42 : x
  2. Step 2: Convert to fraction form
    483.05/1,053.42 = 1,053.42/x
  3. Step 3: Cross multiply
    483.05x = 1,053.42 × 1,053.42
  4. Step 4: Simplify right side
    483.05x = 1,109,697.65
  5. Step 5: Solve for x
    x = 1,109,697.65/483.05
  6. Step 6: Final answer
    x = 2,297.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.