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Finding the Third Proportional to 16,192 and 22,928

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Solution

The third proportional to 16,192 and 22,928 is: 32,466.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,192 : 22,928 = 22,928 : x
  2. Step 2: Convert to fraction form
    16,192/22,928 = 22,928/x
  3. Step 3: Cross multiply
    16,192x = 22,928 × 22,928
  4. Step 4: Simplify right side
    16,192x = 525,693,184
  5. Step 5: Solve for x
    x = 525,693,184/16,192
  6. Step 6: Final answer
    x = 32,466.23

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.