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Finding the Third Proportional to 4,564.69 and 6,846.19

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Solution

The third proportional to 4,564.69 and 6,846.19 is: 10,268.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.69 : 6,846.19 = 6,846.19 : x
  2. Step 2: Convert to fraction form
    4,564.69/6,846.19 = 6,846.19/x
  3. Step 3: Cross multiply
    4,564.69x = 6,846.19 × 6,846.19
  4. Step 4: Simplify right side
    4,564.69x = 46,870,283.29
  5. Step 5: Solve for x
    x = 46,870,283.29/4,564.69
  6. Step 6: Final answer
    x = 10,268.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.