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Finding the Third Proportional to 20,658 and 42,539.25

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Solution

The third proportional to 20,658 and 42,539.25 is: 87,597.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,658 : 42,539.25 = 42,539.25 : x
  2. Step 2: Convert to fraction form
    20,658/42,539.25 = 42,539.25/x
  3. Step 3: Cross multiply
    20,658x = 42,539.25 × 42,539.25
  4. Step 4: Simplify right side
    20,658x = 1,809,587,790.56
  5. Step 5: Solve for x
    x = 1,809,587,790.56/20,658
  6. Step 6: Final answer
    x = 87,597.43

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.