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Finding the Third Proportional to 20,810 and 45,907

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Solution

The third proportional to 20,810 and 45,907 is: 101,271.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,810 : 45,907 = 45,907 : x
  2. Step 2: Convert to fraction form
    20,810/45,907 = 45,907/x
  3. Step 3: Cross multiply
    20,810x = 45,907 × 45,907
  4. Step 4: Simplify right side
    20,810x = 2,107,452,649
  5. Step 5: Solve for x
    x = 2,107,452,649/20,810
  6. Step 6: Final answer
    x = 101,271.15

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.