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Finding the Third Proportional to 19,216 and 30,808

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Solution

The third proportional to 19,216 and 30,808 is: 49,392.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,216 : 30,808 = 30,808 : x
  2. Step 2: Convert to fraction form
    19,216/30,808 = 30,808/x
  3. Step 3: Cross multiply
    19,216x = 30,808 × 30,808
  4. Step 4: Simplify right side
    19,216x = 949,132,864
  5. Step 5: Solve for x
    x = 949,132,864/19,216
  6. Step 6: Final answer
    x = 49,392.84

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.