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Finding the Third Proportional to 13,182 and 29,128

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Solution

The third proportional to 13,182 and 29,128 is: 64,363.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182 : 29,128 = 29,128 : x
  2. Step 2: Convert to fraction form
    13,182/29,128 = 29,128/x
  3. Step 3: Cross multiply
    13,182x = 29,128 × 29,128
  4. Step 4: Simplify right side
    13,182x = 848,440,384
  5. Step 5: Solve for x
    x = 848,440,384/13,182
  6. Step 6: Final answer
    x = 64,363.56

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.