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Finding the Third Proportional to 10,265 and 22,623

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Solution

The third proportional to 10,265 and 22,623 is: 49,858.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265 : 22,623 = 22,623 : x
  2. Step 2: Convert to fraction form
    10,265/22,623 = 22,623/x
  3. Step 3: Cross multiply
    10,265x = 22,623 × 22,623
  4. Step 4: Simplify right side
    10,265x = 511,800,129
  5. Step 5: Solve for x
    x = 511,800,129/10,265
  6. Step 6: Final answer
    x = 49,858.76

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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.