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Finding the Third Proportional to 2,228.25 and 2,999.63

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Solution

The third proportional to 2,228.25 and 2,999.63 is: 4,038.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.25 : 2,999.63 = 2,999.63 : x
  2. Step 2: Convert to fraction form
    2,228.25/2,999.63 = 2,999.63/x
  3. Step 3: Cross multiply
    2,228.25x = 2,999.63 × 2,999.63
  4. Step 4: Simplify right side
    2,228.25x = 8,997,750.14
  5. Step 5: Solve for x
    x = 8,997,750.14/2,228.25
  6. Step 6: Final answer
    x = 4,038.03

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.