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Finding the Third Proportional to 20,907 and 45,013

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Solution

The third proportional to 20,907 and 45,013 is: 96,913.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,907 : 45,013 = 45,013 : x
  2. Step 2: Convert to fraction form
    20,907/45,013 = 45,013/x
  3. Step 3: Cross multiply
    20,907x = 45,013 × 45,013
  4. Step 4: Simplify right side
    20,907x = 2,026,170,169
  5. Step 5: Solve for x
    x = 2,026,170,169/20,907
  6. Step 6: Final answer
    x = 96,913.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.