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Finding the Third Proportional to 20,984 and 44,136

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Solution

The third proportional to 20,984 and 44,136 is: 92,831.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,984 : 44,136 = 44,136 : x
  2. Step 2: Convert to fraction form
    20,984/44,136 = 44,136/x
  3. Step 3: Cross multiply
    20,984x = 44,136 × 44,136
  4. Step 4: Simplify right side
    20,984x = 1,947,986,496
  5. Step 5: Solve for x
    x = 1,947,986,496/20,984
  6. Step 6: Final answer
    x = 92,831.99

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.