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Finding the Third Proportional to 16,192 and 34,792

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Solution

The third proportional to 16,192 and 34,792 is: 74,758.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,192 : 34,792 = 34,792 : x
  2. Step 2: Convert to fraction form
    16,192/34,792 = 34,792/x
  3. Step 3: Cross multiply
    16,192x = 34,792 × 34,792
  4. Step 4: Simplify right side
    16,192x = 1,210,483,264
  5. Step 5: Solve for x
    x = 1,210,483,264/16,192
  6. Step 6: Final answer
    x = 74,758.11

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.