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Finding the Third Proportional to 30,822 and 63,104

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Solution

The third proportional to 30,822 and 63,104 is: 129,197.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,822 : 63,104 = 63,104 : x
  2. Step 2: Convert to fraction form
    30,822/63,104 = 63,104/x
  3. Step 3: Cross multiply
    30,822x = 63,104 × 63,104
  4. Step 4: Simplify right side
    30,822x = 3,982,114,816
  5. Step 5: Solve for x
    x = 3,982,114,816/30,822
  6. Step 6: Final answer
    x = 129,197.16

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.