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Finding the Third Proportional to 20,749 and 45,548

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Solution

The third proportional to 20,749 and 45,548 is: 99,986.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,749 : 45,548 = 45,548 : x
  2. Step 2: Convert to fraction form
    20,749/45,548 = 45,548/x
  3. Step 3: Cross multiply
    20,749x = 45,548 × 45,548
  4. Step 4: Simplify right side
    20,749x = 2,074,620,304
  5. Step 5: Solve for x
    x = 2,074,620,304/20,749
  6. Step 6: Final answer
    x = 99,986.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.