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Finding the Third Proportional to 9,556.50 and 22,485.75

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Solution

The third proportional to 9,556.50 and 22,485.75 is: 52,907.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,556.50 : 22,485.75 = 22,485.75 : x
  2. Step 2: Convert to fraction form
    9,556.50/22,485.75 = 22,485.75/x
  3. Step 3: Cross multiply
    9,556.50x = 22,485.75 × 22,485.75
  4. Step 4: Simplify right side
    9,556.50x = 505,608,953.06
  5. Step 5: Solve for x
    x = 505,608,953.06/9,556.50
  6. Step 6: Final answer
    x = 52,907.34

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.