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Finding the Third Proportional to 8,835.75 and 13,739.63

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Solution

The third proportional to 8,835.75 and 13,739.63 is: 21,365.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,835.75 : 13,739.63 = 13,739.63 : x
  2. Step 2: Convert to fraction form
    8,835.75/13,739.63 = 13,739.63/x
  3. Step 3: Cross multiply
    8,835.75x = 13,739.63 × 13,739.63
  4. Step 4: Simplify right side
    8,835.75x = 188,777,295.14
  5. Step 5: Solve for x
    x = 188,777,295.14/8,835.75
  6. Step 6: Final answer
    x = 21,365.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.