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Finding the Third Proportional to 12,496 and 16,496

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Solution

The third proportional to 12,496 and 16,496 is: 21,776.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,496 : 16,496 = 16,496 : x
  2. Step 2: Convert to fraction form
    12,496/16,496 = 16,496/x
  3. Step 3: Cross multiply
    12,496x = 16,496 × 16,496
  4. Step 4: Simplify right side
    12,496x = 272,118,016
  5. Step 5: Solve for x
    x = 272,118,016/12,496
  6. Step 6: Final answer
    x = 21,776.41

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.