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Finding the Third Proportional to 7,713 and 13,713.75

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Solution

The third proportional to 7,713 and 13,713.75 is: 24,383.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713 : 13,713.75 = 13,713.75 : x
  2. Step 2: Convert to fraction form
    7,713/13,713.75 = 13,713.75/x
  3. Step 3: Cross multiply
    7,713x = 13,713.75 × 13,713.75
  4. Step 4: Simplify right side
    7,713x = 188,066,939.06
  5. Step 5: Solve for x
    x = 188,066,939.06/7,713
  6. Step 6: Final answer
    x = 24,383.11

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.