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Finding the Third Proportional to 12,310.59 and 18,028.97

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Solution

The third proportional to 12,310.59 and 18,028.97 is: 26,403.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,310.59 : 18,028.97 = 18,028.97 : x
  2. Step 2: Convert to fraction form
    12,310.59/18,028.97 = 18,028.97/x
  3. Step 3: Cross multiply
    12,310.59x = 18,028.97 × 18,028.97
  4. Step 4: Simplify right side
    12,310.59x = 325,043,714.19
  5. Step 5: Solve for x
    x = 325,043,714.19/12,310.59
  6. Step 6: Final answer
    x = 26,403.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.