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Finding the Third Proportional to 20,958 and 42,524

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Solution

The third proportional to 20,958 and 42,524 is: 86,281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,958 : 42,524 = 42,524 : x
  2. Step 2: Convert to fraction form
    20,958/42,524 = 42,524/x
  3. Step 3: Cross multiply
    20,958x = 42,524 × 42,524
  4. Step 4: Simplify right side
    20,958x = 1,808,290,576
  5. Step 5: Solve for x
    x = 1,808,290,576/20,958
  6. Step 6: Final answer
    x = 86,281.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.