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Finding the Third Proportional to 6,234.75 and 13,070.25

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Solution

The third proportional to 6,234.75 and 13,070.25 is: 27,399.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.75 : 13,070.25 = 13,070.25 : x
  2. Step 2: Convert to fraction form
    6,234.75/13,070.25 = 13,070.25/x
  3. Step 3: Cross multiply
    6,234.75x = 13,070.25 × 13,070.25
  4. Step 4: Simplify right side
    6,234.75x = 170,831,435.06
  5. Step 5: Solve for x
    x = 170,831,435.06/6,234.75
  6. Step 6: Final answer
    x = 27,399.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.