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Finding the Third Proportional to 6,027.75 and 12,602.25

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Solution

The third proportional to 6,027.75 and 12,602.25 is: 26,347.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,027.75 : 12,602.25 = 12,602.25 : x
  2. Step 2: Convert to fraction form
    6,027.75/12,602.25 = 12,602.25/x
  3. Step 3: Cross multiply
    6,027.75x = 12,602.25 × 12,602.25
  4. Step 4: Simplify right side
    6,027.75x = 158,816,705.06
  5. Step 5: Solve for x
    x = 158,816,705.06/6,027.75
  6. Step 6: Final answer
    x = 26,347.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.