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Finding the Third Proportional to 4,653.07 and 7,023.27

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Solution

The third proportional to 4,653.07 and 7,023.27 is: 10,600.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.07 : 7,023.27 = 7,023.27 : x
  2. Step 2: Convert to fraction form
    4,653.07/7,023.27 = 7,023.27/x
  3. Step 3: Cross multiply
    4,653.07x = 7,023.27 × 7,023.27
  4. Step 4: Simplify right side
    4,653.07x = 49,326,314.91
  5. Step 5: Solve for x
    x = 49,326,314.91/4,653.07
  6. Step 6: Final answer
    x = 10,600.81

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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.