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Finding the Third Proportional to 16,971 and 24,444

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Solution

The third proportional to 16,971 and 24,444 is: 35,207.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,971 : 24,444 = 24,444 : x
  2. Step 2: Convert to fraction form
    16,971/24,444 = 24,444/x
  3. Step 3: Cross multiply
    16,971x = 24,444 × 24,444
  4. Step 4: Simplify right side
    16,971x = 597,509,136
  5. Step 5: Solve for x
    x = 597,509,136/16,971
  6. Step 6: Final answer
    x = 35,207.66

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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.