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Finding the Third Proportional to 21,825 and 33,579

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Solution

The third proportional to 21,825 and 33,579 is: 51,663.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,825 : 33,579 = 33,579 : x
  2. Step 2: Convert to fraction form
    21,825/33,579 = 33,579/x
  3. Step 3: Cross multiply
    21,825x = 33,579 × 33,579
  4. Step 4: Simplify right side
    21,825x = 1,127,549,241
  5. Step 5: Solve for x
    x = 1,127,549,241/21,825
  6. Step 6: Final answer
    x = 51,663.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.