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Finding the Third Proportional to 14,976 and 21,842

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Solution

The third proportional to 14,976 and 21,842 is: 31,855.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,976 : 21,842 = 21,842 : x
  2. Step 2: Convert to fraction form
    14,976/21,842 = 21,842/x
  3. Step 3: Cross multiply
    14,976x = 21,842 × 21,842
  4. Step 4: Simplify right side
    14,976x = 477,072,964
  5. Step 5: Solve for x
    x = 477,072,964/14,976
  6. Step 6: Final answer
    x = 31,855.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.