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Finding the Third Proportional to 5,239 and 10,907

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Solution

The third proportional to 5,239 and 10,907 is: 22,707.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239 : 10,907 = 10,907 : x
  2. Step 2: Convert to fraction form
    5,239/10,907 = 10,907/x
  3. Step 3: Cross multiply
    5,239x = 10,907 × 10,907
  4. Step 4: Simplify right side
    5,239x = 118,962,649
  5. Step 5: Solve for x
    x = 118,962,649/5,239
  6. Step 6: Final answer
    x = 22,707.13

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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.