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Finding the Third Proportional to 482.13 and 1,039.38

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Solution

The third proportional to 482.13 and 1,039.38 is: 2,240.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.13 : 1,039.38 = 1,039.38 : x
  2. Step 2: Convert to fraction form
    482.13/1,039.38 = 1,039.38/x
  3. Step 3: Cross multiply
    482.13x = 1,039.38 × 1,039.38
  4. Step 4: Simplify right side
    482.13x = 1,080,300.39
  5. Step 5: Solve for x
    x = 1,080,300.39/482.13
  6. Step 6: Final answer
    x = 2,240.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.