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Finding the Third Proportional to 7,148.25 and 14,745.38

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Solution

The third proportional to 7,148.25 and 14,745.38 is: 30,416.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.25 : 14,745.38 = 14,745.38 : x
  2. Step 2: Convert to fraction form
    7,148.25/14,745.38 = 14,745.38/x
  3. Step 3: Cross multiply
    7,148.25x = 14,745.38 × 14,745.38
  4. Step 4: Simplify right side
    7,148.25x = 217,426,083.89
  5. Step 5: Solve for x
    x = 217,426,083.89/7,148.25
  6. Step 6: Final answer
    x = 30,416.69

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.