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Finding the Third Proportional to 12,811.50 and 28,090.97

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Solution

The third proportional to 12,811.50 and 28,090.97 is: 61,593.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.50 : 28,090.97 = 28,090.97 : x
  2. Step 2: Convert to fraction form
    12,811.50/28,090.97 = 28,090.97/x
  3. Step 3: Cross multiply
    12,811.50x = 28,090.97 × 28,090.97
  4. Step 4: Simplify right side
    12,811.50x = 789,102,525.31
  5. Step 5: Solve for x
    x = 789,102,525.31/12,811.50
  6. Step 6: Final answer
    x = 61,593.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.