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Finding the Third Proportional to 903.25 and 1,950.50

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Solution

The third proportional to 903.25 and 1,950.50 is: 4,211.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.25 : 1,950.50 = 1,950.50 : x
  2. Step 2: Convert to fraction form
    903.25/1,950.50 = 1,950.50/x
  3. Step 3: Cross multiply
    903.25x = 1,950.50 × 1,950.50
  4. Step 4: Simplify right side
    903.25x = 3,804,450.25
  5. Step 5: Solve for x
    x = 3,804,450.25/903.25
  6. Step 6: Final answer
    x = 4,211.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.