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Finding the Third Proportional to 19,857.23 and 30,958.13

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Solution

The third proportional to 19,857.23 and 30,958.13 is: 48,264.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,857.23 : 30,958.13 = 30,958.13 : x
  2. Step 2: Convert to fraction form
    19,857.23/30,958.13 = 30,958.13/x
  3. Step 3: Cross multiply
    19,857.23x = 30,958.13 × 30,958.13
  4. Step 4: Simplify right side
    19,857.23x = 958,405,503.52
  5. Step 5: Solve for x
    x = 958,405,503.52/19,857.23
  6. Step 6: Final answer
    x = 48,264.80

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.