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Finding the Third Proportional to 14,576 and 21,982

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Solution

The third proportional to 14,576 and 21,982 is: 33,150.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,576 : 21,982 = 21,982 : x
  2. Step 2: Convert to fraction form
    14,576/21,982 = 21,982/x
  3. Step 3: Cross multiply
    14,576x = 21,982 × 21,982
  4. Step 4: Simplify right side
    14,576x = 483,208,324
  5. Step 5: Solve for x
    x = 483,208,324/14,576
  6. Step 6: Final answer
    x = 33,150.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.