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Finding the Third Proportional to 2,485.69 and 2,823.19

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Solution

The third proportional to 2,485.69 and 2,823.19 is: 3,206.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.69 : 2,823.19 = 2,823.19 : x
  2. Step 2: Convert to fraction form
    2,485.69/2,823.19 = 2,823.19/x
  3. Step 3: Cross multiply
    2,485.69x = 2,823.19 × 2,823.19
  4. Step 4: Simplify right side
    2,485.69x = 7,970,387.66
  5. Step 5: Solve for x
    x = 7,970,387.66/2,485.69
  6. Step 6: Final answer
    x = 3,206.51

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.