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Finding the Third Proportional to 6,707 and 10,205

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Solution

The third proportional to 6,707 and 10,205 is: 15,527.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707 : 10,205 = 10,205 : x
  2. Step 2: Convert to fraction form
    6,707/10,205 = 10,205/x
  3. Step 3: Cross multiply
    6,707x = 10,205 × 10,205
  4. Step 4: Simplify right side
    6,707x = 104,142,025
  5. Step 5: Solve for x
    x = 104,142,025/6,707
  6. Step 6: Final answer
    x = 15,527.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.