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Finding the Third Proportional to 12,559.22 and 27,090.19

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Solution

The third proportional to 12,559.22 and 27,090.19 is: 58,433.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,559.22 : 27,090.19 = 27,090.19 : x
  2. Step 2: Convert to fraction form
    12,559.22/27,090.19 = 27,090.19/x
  3. Step 3: Cross multiply
    12,559.22x = 27,090.19 × 27,090.19
  4. Step 4: Simplify right side
    12,559.22x = 733,878,258.79
  5. Step 5: Solve for x
    x = 733,878,258.79/12,559.22
  6. Step 6: Final answer
    x = 58,433.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.