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Finding the Third Proportional to 20,301.75 and 31,245.38

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Solution

The third proportional to 20,301.75 and 31,245.38 is: 48,088.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,301.75 : 31,245.38 = 31,245.38 : x
  2. Step 2: Convert to fraction form
    20,301.75/31,245.38 = 31,245.38/x
  3. Step 3: Cross multiply
    20,301.75x = 31,245.38 × 31,245.38
  4. Step 4: Simplify right side
    20,301.75x = 976,273,458.89
  5. Step 5: Solve for x
    x = 976,273,458.89/20,301.75
  6. Step 6: Final answer
    x = 48,088.14

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.