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Finding the Third Proportional to 12,669.75 and 17,254.69

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Solution

The third proportional to 12,669.75 and 17,254.69 is: 23,498.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,669.75 : 17,254.69 = 17,254.69 : x
  2. Step 2: Convert to fraction form
    12,669.75/17,254.69 = 17,254.69/x
  3. Step 3: Cross multiply
    12,669.75x = 17,254.69 × 17,254.69
  4. Step 4: Simplify right side
    12,669.75x = 297,724,240.72
  5. Step 5: Solve for x
    x = 297,724,240.72/12,669.75
  6. Step 6: Final answer
    x = 23,498.83

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.