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Finding the Third Proportional to 9,148.50 and 11,922.75

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Solution

The third proportional to 9,148.50 and 11,922.75 is: 15,538.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.50 : 11,922.75 = 11,922.75 : x
  2. Step 2: Convert to fraction form
    9,148.50/11,922.75 = 11,922.75/x
  3. Step 3: Cross multiply
    9,148.50x = 11,922.75 × 11,922.75
  4. Step 4: Simplify right side
    9,148.50x = 142,151,967.56
  5. Step 5: Solve for x
    x = 142,151,967.56/9,148.50
  6. Step 6: Final answer
    x = 15,538.28

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.