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Finding the Third Proportional to 4,653.07 and 6,731.86

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Solution

The third proportional to 4,653.07 and 6,731.86 is: 9,739.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.07 : 6,731.86 = 6,731.86 : x
  2. Step 2: Convert to fraction form
    4,653.07/6,731.86 = 6,731.86/x
  3. Step 3: Cross multiply
    4,653.07x = 6,731.86 × 6,731.86
  4. Step 4: Simplify right side
    4,653.07x = 45,317,930.64
  5. Step 5: Solve for x
    x = 45,317,930.64/4,653.07
  6. Step 6: Final answer
    x = 9,739.36

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.