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Finding the Third Proportional to 20,670.50 and 31,948

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Solution

The third proportional to 20,670.50 and 31,948 is: 49,378.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,670.50 : 31,948 = 31,948 : x
  2. Step 2: Convert to fraction form
    20,670.50/31,948 = 31,948/x
  3. Step 3: Cross multiply
    20,670.50x = 31,948 × 31,948
  4. Step 4: Simplify right side
    20,670.50x = 1,020,674,704
  5. Step 5: Solve for x
    x = 1,020,674,704/20,670.50
  6. Step 6: Final answer
    x = 49,378.33

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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.