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Finding the Third Proportional to 14,930.26 and 32,195.60

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Solution

The third proportional to 14,930.26 and 32,195.60 is: 69,426.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,930.26 : 32,195.60 = 32,195.60 : x
  2. Step 2: Convert to fraction form
    14,930.26/32,195.60 = 32,195.60/x
  3. Step 3: Cross multiply
    14,930.26x = 32,195.60 × 32,195.60
  4. Step 4: Simplify right side
    14,930.26x = 1,036,556,759.97
  5. Step 5: Solve for x
    x = 1,036,556,759.97/14,930.26
  6. Step 6: Final answer
    x = 69,426.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.