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Finding the Third Proportional to 25,786 and 54,623

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Solution

The third proportional to 25,786 and 54,623 is: 115,708.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,786 : 54,623 = 54,623 : x
  2. Step 2: Convert to fraction form
    25,786/54,623 = 54,623/x
  3. Step 3: Cross multiply
    25,786x = 54,623 × 54,623
  4. Step 4: Simplify right side
    25,786x = 2,983,672,129
  5. Step 5: Solve for x
    x = 2,983,672,129/25,786
  6. Step 6: Final answer
    x = 115,708.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.