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Finding the Third Proportional to 4,530.94 and 6,829.31

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Solution

The third proportional to 4,530.94 and 6,829.31 is: 10,293.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,530.94 : 6,829.31 = 6,829.31 : x
  2. Step 2: Convert to fraction form
    4,530.94/6,829.31 = 6,829.31/x
  3. Step 3: Cross multiply
    4,530.94x = 6,829.31 × 6,829.31
  4. Step 4: Simplify right side
    4,530.94x = 46,639,509.22
  5. Step 5: Solve for x
    x = 46,639,509.22/4,530.94
  6. Step 6: Final answer
    x = 10,293.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.