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Finding the Third Proportional to 12,556.69 and 18,997.03

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Solution

The third proportional to 12,556.69 and 18,997.03 is: 28,740.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,556.69 : 18,997.03 = 18,997.03 : x
  2. Step 2: Convert to fraction form
    12,556.69/18,997.03 = 18,997.03/x
  3. Step 3: Cross multiply
    12,556.69x = 18,997.03 × 18,997.03
  4. Step 4: Simplify right side
    12,556.69x = 360,887,196.31
  5. Step 5: Solve for x
    x = 360,887,196.31/12,556.69
  6. Step 6: Final answer
    x = 28,740.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.