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Finding the Third Proportional to 14,006 and 29,128

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Solution

The third proportional to 14,006 and 29,128 is: 60,576.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,006 : 29,128 = 29,128 : x
  2. Step 2: Convert to fraction form
    14,006/29,128 = 29,128/x
  3. Step 3: Cross multiply
    14,006x = 29,128 × 29,128
  4. Step 4: Simplify right side
    14,006x = 848,440,384
  5. Step 5: Solve for x
    x = 848,440,384/14,006
  6. Step 6: Final answer
    x = 60,576.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.