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Finding the Third Proportional to 6,207.75 and 12,834

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Solution

The third proportional to 6,207.75 and 12,834 is: 26,533.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.75 : 12,834 = 12,834 : x
  2. Step 2: Convert to fraction form
    6,207.75/12,834 = 12,834/x
  3. Step 3: Cross multiply
    6,207.75x = 12,834 × 12,834
  4. Step 4: Simplify right side
    6,207.75x = 164,711,556
  5. Step 5: Solve for x
    x = 164,711,556/6,207.75
  6. Step 6: Final answer
    x = 26,533.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.