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Finding the Third Proportional to 19,248 and 30,864

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Solution

The third proportional to 19,248 and 30,864 is: 49,490.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,248 : 30,864 = 30,864 : x
  2. Step 2: Convert to fraction form
    19,248/30,864 = 30,864/x
  3. Step 3: Cross multiply
    19,248x = 30,864 × 30,864
  4. Step 4: Simplify right side
    19,248x = 952,586,496
  5. Step 5: Solve for x
    x = 952,586,496/19,248
  6. Step 6: Final answer
    x = 49,490.15

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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.