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Finding the Third Proportional to 16,954 and 24,459

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Solution

The third proportional to 16,954 and 24,459 is: 35,286.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,954 : 24,459 = 24,459 : x
  2. Step 2: Convert to fraction form
    16,954/24,459 = 24,459/x
  3. Step 3: Cross multiply
    16,954x = 24,459 × 24,459
  4. Step 4: Simplify right side
    16,954x = 598,242,681
  5. Step 5: Solve for x
    x = 598,242,681/16,954
  6. Step 6: Final answer
    x = 35,286.23

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.