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Finding the Third Proportional to 12,428.44 and 18,055.69

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Solution

The third proportional to 12,428.44 and 18,055.69 is: 26,230.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,428.44 : 18,055.69 = 18,055.69 : x
  2. Step 2: Convert to fraction form
    12,428.44/18,055.69 = 18,055.69/x
  3. Step 3: Cross multiply
    12,428.44x = 18,055.69 × 18,055.69
  4. Step 4: Simplify right side
    12,428.44x = 326,007,851.10
  5. Step 5: Solve for x
    x = 326,007,851.10/12,428.44
  6. Step 6: Final answer
    x = 26,230.80

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.