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Finding the Third Proportional to 7,287.42 and 15,893.93

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Solution

The third proportional to 7,287.42 and 15,893.93 is: 34,664.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.42 : 15,893.93 = 15,893.93 : x
  2. Step 2: Convert to fraction form
    7,287.42/15,893.93 = 15,893.93/x
  3. Step 3: Cross multiply
    7,287.42x = 15,893.93 × 15,893.93
  4. Step 4: Simplify right side
    7,287.42x = 252,616,896.14
  5. Step 5: Solve for x
    x = 252,616,896.14/7,287.42
  6. Step 6: Final answer
    x = 34,664.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.