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Finding the Third Proportional to 25,698 and 54,786

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Solution

The third proportional to 25,698 and 54,786 is: 116,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,698 : 54,786 = 54,786 : x
  2. Step 2: Convert to fraction form
    25,698/54,786 = 54,786/x
  3. Step 3: Cross multiply
    25,698x = 54,786 × 54,786
  4. Step 4: Simplify right side
    25,698x = 3,001,505,796
  5. Step 5: Solve for x
    x = 3,001,505,796/25,698
  6. Step 6: Final answer
    x = 116,799.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.