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Finding the Third Proportional to 1,950.75 and 4,102.69

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Solution

The third proportional to 1,950.75 and 4,102.69 is: 8,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.75 : 4,102.69 = 4,102.69 : x
  2. Step 2: Convert to fraction form
    1,950.75/4,102.69 = 4,102.69/x
  3. Step 3: Cross multiply
    1,950.75x = 4,102.69 × 4,102.69
  4. Step 4: Simplify right side
    1,950.75x = 16,832,044.72
  5. Step 5: Solve for x
    x = 16,832,044.72/1,950.75
  6. Step 6: Final answer
    x = 8,628.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.