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Finding the Third Proportional to 6,300.75 and 13,125.75

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Solution

The third proportional to 6,300.75 and 13,125.75 is: 27,343.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300.75 : 13,125.75 = 13,125.75 : x
  2. Step 2: Convert to fraction form
    6,300.75/13,125.75 = 13,125.75/x
  3. Step 3: Cross multiply
    6,300.75x = 13,125.75 × 13,125.75
  4. Step 4: Simplify right side
    6,300.75x = 172,285,313.06
  5. Step 5: Solve for x
    x = 172,285,313.06/6,300.75
  6. Step 6: Final answer
    x = 27,343.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.