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Finding the Third Proportional to 16,928 and 19,466

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Solution

The third proportional to 16,928 and 19,466 is: 22,384.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,928 : 19,466 = 19,466 : x
  2. Step 2: Convert to fraction form
    16,928/19,466 = 19,466/x
  3. Step 3: Cross multiply
    16,928x = 19,466 × 19,466
  4. Step 4: Simplify right side
    16,928x = 378,925,156
  5. Step 5: Solve for x
    x = 378,925,156/16,928
  6. Step 6: Final answer
    x = 22,384.52

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.