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Finding the Third Proportional to 12,825.84 and 17,254.90

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Solution

The third proportional to 12,825.84 and 17,254.90 is: 23,213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825.84 : 17,254.90 = 17,254.90 : x
  2. Step 2: Convert to fraction form
    12,825.84/17,254.90 = 17,254.90/x
  3. Step 3: Cross multiply
    12,825.84x = 17,254.90 × 17,254.90
  4. Step 4: Simplify right side
    12,825.84x = 297,731,520.09
  5. Step 5: Solve for x
    x = 297,731,520.09/12,825.84
  6. Step 6: Final answer
    x = 23,213.41

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.