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Finding the Third Proportional to 3,485.81 and 5,112.47

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Solution

The third proportional to 3,485.81 and 5,112.47 is: 7,498.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.81 : 5,112.47 = 5,112.47 : x
  2. Step 2: Convert to fraction form
    3,485.81/5,112.47 = 5,112.47/x
  3. Step 3: Cross multiply
    3,485.81x = 5,112.47 × 5,112.47
  4. Step 4: Simplify right side
    3,485.81x = 26,137,336.72
  5. Step 5: Solve for x
    x = 26,137,336.72/3,485.81
  6. Step 6: Final answer
    x = 7,498.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.