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Finding the Third Proportional to 10,965.88 and 23,685.38

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Solution

The third proportional to 10,965.88 and 23,685.38 is: 51,158.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965.88 : 23,685.38 = 23,685.38 : x
  2. Step 2: Convert to fraction form
    10,965.88/23,685.38 = 23,685.38/x
  3. Step 3: Cross multiply
    10,965.88x = 23,685.38 × 23,685.38
  4. Step 4: Simplify right side
    10,965.88x = 560,996,988.89
  5. Step 5: Solve for x
    x = 560,996,988.89/10,965.88
  6. Step 6: Final answer
    x = 51,158.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.