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Finding the Third Proportional to 29,328 and 61,956

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Solution

The third proportional to 29,328 and 61,956 is: 130,883.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,328 : 61,956 = 61,956 : x
  2. Step 2: Convert to fraction form
    29,328/61,956 = 61,956/x
  3. Step 3: Cross multiply
    29,328x = 61,956 × 61,956
  4. Step 4: Simplify right side
    29,328x = 3,838,545,936
  5. Step 5: Solve for x
    x = 3,838,545,936/29,328
  6. Step 6: Final answer
    x = 130,883.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.