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Finding the Third Proportional to 25,824 and 54,726

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Solution

The third proportional to 25,824 and 54,726 is: 115,974.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,824 : 54,726 = 54,726 : x
  2. Step 2: Convert to fraction form
    25,824/54,726 = 54,726/x
  3. Step 3: Cross multiply
    25,824x = 54,726 × 54,726
  4. Step 4: Simplify right side
    25,824x = 2,994,935,076
  5. Step 5: Solve for x
    x = 2,994,935,076/25,824
  6. Step 6: Final answer
    x = 115,974.87

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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.