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Finding the Third Proportional to 21,385 and 51,822

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Solution

The third proportional to 21,385 and 51,822 is: 125,579.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,385 : 51,822 = 51,822 : x
  2. Step 2: Convert to fraction form
    21,385/51,822 = 51,822/x
  3. Step 3: Cross multiply
    21,385x = 51,822 × 51,822
  4. Step 4: Simplify right side
    21,385x = 2,685,519,684
  5. Step 5: Solve for x
    x = 2,685,519,684/21,385
  6. Step 6: Final answer
    x = 125,579.60

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.