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Finding the Third Proportional to 16,928 and 37,248

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Solution

The third proportional to 16,928 and 37,248 is: 81,959.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,928 : 37,248 = 37,248 : x
  2. Step 2: Convert to fraction form
    16,928/37,248 = 37,248/x
  3. Step 3: Cross multiply
    16,928x = 37,248 × 37,248
  4. Step 4: Simplify right side
    16,928x = 1,387,413,504
  5. Step 5: Solve for x
    x = 1,387,413,504/16,928
  6. Step 6: Final answer
    x = 81,959.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.