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Finding the Third Proportional to 12,933 and 19,764

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Solution

The third proportional to 12,933 and 19,764 is: 30,203.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,933 : 19,764 = 19,764 : x
  2. Step 2: Convert to fraction form
    12,933/19,764 = 19,764/x
  3. Step 3: Cross multiply
    12,933x = 19,764 × 19,764
  4. Step 4: Simplify right side
    12,933x = 390,615,696
  5. Step 5: Solve for x
    x = 390,615,696/12,933
  6. Step 6: Final answer
    x = 30,203.02

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.