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Finding the Third Proportional to 25,318 and 54,529

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Solution

The third proportional to 25,318 and 54,529 is: 117,442.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,318 : 54,529 = 54,529 : x
  2. Step 2: Convert to fraction form
    25,318/54,529 = 54,529/x
  3. Step 3: Cross multiply
    25,318x = 54,529 × 54,529
  4. Step 4: Simplify right side
    25,318x = 2,973,411,841
  5. Step 5: Solve for x
    x = 2,973,411,841/25,318
  6. Step 6: Final answer
    x = 117,442.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.