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Finding the Third Proportional to 14,960 and 21,796

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Solution

The third proportional to 14,960 and 21,796 is: 31,755.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,960 : 21,796 = 21,796 : x
  2. Step 2: Convert to fraction form
    14,960/21,796 = 21,796/x
  3. Step 3: Cross multiply
    14,960x = 21,796 × 21,796
  4. Step 4: Simplify right side
    14,960x = 475,065,616
  5. Step 5: Solve for x
    x = 475,065,616/14,960
  6. Step 6: Final answer
    x = 31,755.72

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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.