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Finding the Third Proportional to 11,070 and 23,907

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Solution

The third proportional to 11,070 and 23,907 is: 51,630.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,070 : 23,907 = 23,907 : x
  2. Step 2: Convert to fraction form
    11,070/23,907 = 23,907/x
  3. Step 3: Cross multiply
    11,070x = 23,907 × 23,907
  4. Step 4: Simplify right side
    11,070x = 571,544,649
  5. Step 5: Solve for x
    x = 571,544,649/11,070
  6. Step 6: Final answer
    x = 51,630.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.