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Finding the Third Proportional to 6,036.75 and 12,800.25

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Solution

The third proportional to 6,036.75 and 12,800.25 is: 27,141.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,036.75 : 12,800.25 = 12,800.25 : x
  2. Step 2: Convert to fraction form
    6,036.75/12,800.25 = 12,800.25/x
  3. Step 3: Cross multiply
    6,036.75x = 12,800.25 × 12,800.25
  4. Step 4: Simplify right side
    6,036.75x = 163,846,400.06
  5. Step 5: Solve for x
    x = 163,846,400.06/6,036.75
  6. Step 6: Final answer
    x = 27,141.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.