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Finding the Third Proportional to 2,975.25 and 7,035.38

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Solution

The third proportional to 2,975.25 and 7,035.38 is: 16,636.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.25 : 7,035.38 = 7,035.38 : x
  2. Step 2: Convert to fraction form
    2,975.25/7,035.38 = 7,035.38/x
  3. Step 3: Cross multiply
    2,975.25x = 7,035.38 × 7,035.38
  4. Step 4: Simplify right side
    2,975.25x = 49,496,501.39
  5. Step 5: Solve for x
    x = 49,496,501.39/2,975.25
  6. Step 6: Final answer
    x = 16,636.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.