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Finding the Third Proportional to 12,475.69 and 18,348.56

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Solution

The third proportional to 12,475.69 and 18,348.56 is: 26,986.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,475.69 : 18,348.56 = 18,348.56 : x
  2. Step 2: Convert to fraction form
    12,475.69/18,348.56 = 18,348.56/x
  3. Step 3: Cross multiply
    12,475.69x = 18,348.56 × 18,348.56
  4. Step 4: Simplify right side
    12,475.69x = 336,669,745.82
  5. Step 5: Solve for x
    x = 336,669,745.82/12,475.69
  6. Step 6: Final answer
    x = 26,986.07

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.