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Finding the Third Proportional to 1,975.13 and 4,018.69

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Solution

The third proportional to 1,975.13 and 4,018.69 is: 8,176.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.13 : 4,018.69 = 4,018.69 : x
  2. Step 2: Convert to fraction form
    1,975.13/4,018.69 = 4,018.69/x
  3. Step 3: Cross multiply
    1,975.13x = 4,018.69 × 4,018.69
  4. Step 4: Simplify right side
    1,975.13x = 16,149,849.22
  5. Step 5: Solve for x
    x = 16,149,849.22/1,975.13
  6. Step 6: Final answer
    x = 8,176.62

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.