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Finding the Third Proportional to 19,648 and 30,472

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Solution

The third proportional to 19,648 and 30,472 is: 47,258.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,648 : 30,472 = 30,472 : x
  2. Step 2: Convert to fraction form
    19,648/30,472 = 30,472/x
  3. Step 3: Cross multiply
    19,648x = 30,472 × 30,472
  4. Step 4: Simplify right side
    19,648x = 928,542,784
  5. Step 5: Solve for x
    x = 928,542,784/19,648
  6. Step 6: Final answer
    x = 47,258.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.