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Finding the Third Proportional to 28,956 and 63,234

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Solution

The third proportional to 28,956 and 63,234 is: 138,090.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,956 : 63,234 = 63,234 : x
  2. Step 2: Convert to fraction form
    28,956/63,234 = 63,234/x
  3. Step 3: Cross multiply
    28,956x = 63,234 × 63,234
  4. Step 4: Simplify right side
    28,956x = 3,998,538,756
  5. Step 5: Solve for x
    x = 3,998,538,756/28,956
  6. Step 6: Final answer
    x = 138,090.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.