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Finding the Third Proportional to 27,454.50 and 55,907.50

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Solution

The third proportional to 27,454.50 and 55,907.50 is: 113,848.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,454.50 : 55,907.50 = 55,907.50 : x
  2. Step 2: Convert to fraction form
    27,454.50/55,907.50 = 55,907.50/x
  3. Step 3: Cross multiply
    27,454.50x = 55,907.50 × 55,907.50
  4. Step 4: Simplify right side
    27,454.50x = 3,125,648,556.25
  5. Step 5: Solve for x
    x = 3,125,648,556.25/27,454.50
  6. Step 6: Final answer
    x = 113,848.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.