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Finding the Third Proportional to 1,293.47 and 2,834.68

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Solution

The third proportional to 1,293.47 and 2,834.68 is: 6,212.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.47 : 2,834.68 = 2,834.68 : x
  2. Step 2: Convert to fraction form
    1,293.47/2,834.68 = 2,834.68/x
  3. Step 3: Cross multiply
    1,293.47x = 2,834.68 × 2,834.68
  4. Step 4: Simplify right side
    1,293.47x = 8,035,431.08
  5. Step 5: Solve for x
    x = 8,035,431.08/1,293.47
  6. Step 6: Final answer
    x = 6,212.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.