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Finding the Third Proportional to 29,054 and 61,372

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Solution

The third proportional to 29,054 and 61,372 is: 129,638.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,054 : 61,372 = 61,372 : x
  2. Step 2: Convert to fraction form
    29,054/61,372 = 61,372/x
  3. Step 3: Cross multiply
    29,054x = 61,372 × 61,372
  4. Step 4: Simplify right side
    29,054x = 3,766,522,384
  5. Step 5: Solve for x
    x = 3,766,522,384/29,054
  6. Step 6: Final answer
    x = 129,638.69

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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.