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Finding the Third Proportional to 12,072 and 13,998

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Solution

The third proportional to 12,072 and 13,998 is: 16,231.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,072 : 13,998 = 13,998 : x
  2. Step 2: Convert to fraction form
    12,072/13,998 = 13,998/x
  3. Step 3: Cross multiply
    12,072x = 13,998 × 13,998
  4. Step 4: Simplify right side
    12,072x = 195,944,004
  5. Step 5: Solve for x
    x = 195,944,004/12,072
  6. Step 6: Final answer
    x = 16,231.28

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.