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Finding the Third Proportional to 9,523.41 and 20,892.94

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Solution

The third proportional to 9,523.41 and 20,892.94 is: 45,836.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.41 : 20,892.94 = 20,892.94 : x
  2. Step 2: Convert to fraction form
    9,523.41/20,892.94 = 20,892.94/x
  3. Step 3: Cross multiply
    9,523.41x = 20,892.94 × 20,892.94
  4. Step 4: Simplify right side
    9,523.41x = 436,514,837.38
  5. Step 5: Solve for x
    x = 436,514,837.38/9,523.41
  6. Step 6: Final answer
    x = 45,836.00

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.