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Finding the Third Proportional to 7,852.36 and 17,089.73

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Solution

The third proportional to 7,852.36 and 17,089.73 is: 37,193.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.36 : 17,089.73 = 17,089.73 : x
  2. Step 2: Convert to fraction form
    7,852.36/17,089.73 = 17,089.73/x
  3. Step 3: Cross multiply
    7,852.36x = 17,089.73 × 17,089.73
  4. Step 4: Simplify right side
    7,852.36x = 292,059,021.01
  5. Step 5: Solve for x
    x = 292,059,021.01/7,852.36
  6. Step 6: Final answer
    x = 37,193.79

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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.