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Finding the Third Proportional to 10,851.71 and 16,825.38

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Solution

The third proportional to 10,851.71 and 16,825.38 is: 26,087.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,851.71 : 16,825.38 = 16,825.38 : x
  2. Step 2: Convert to fraction form
    10,851.71/16,825.38 = 16,825.38/x
  3. Step 3: Cross multiply
    10,851.71x = 16,825.38 × 16,825.38
  4. Step 4: Simplify right side
    10,851.71x = 283,093,309.61
  5. Step 5: Solve for x
    x = 283,093,309.61/10,851.71
  6. Step 6: Final answer
    x = 26,087.45

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.