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Finding the Third Proportional to 9,067.50 and 22,135.50

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Solution

The third proportional to 9,067.50 and 22,135.50 is: 54,036.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,067.50 : 22,135.50 = 22,135.50 : x
  2. Step 2: Convert to fraction form
    9,067.50/22,135.50 = 22,135.50/x
  3. Step 3: Cross multiply
    9,067.50x = 22,135.50 × 22,135.50
  4. Step 4: Simplify right side
    9,067.50x = 489,980,360.25
  5. Step 5: Solve for x
    x = 489,980,360.25/9,067.50
  6. Step 6: Final answer
    x = 54,036.98

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.