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Finding the Third Proportional to 1,903.50 and 4,206.94

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Solution

The third proportional to 1,903.50 and 4,206.94 is: 9,297.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.50 : 4,206.94 = 4,206.94 : x
  2. Step 2: Convert to fraction form
    1,903.50/4,206.94 = 4,206.94/x
  3. Step 3: Cross multiply
    1,903.50x = 4,206.94 × 4,206.94
  4. Step 4: Simplify right side
    1,903.50x = 17,698,323.13
  5. Step 5: Solve for x
    x = 17,698,323.13/1,903.50
  6. Step 6: Final answer
    x = 9,297.78

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.