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Finding the Third Proportional to 25,774 and 54,316

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Solution

The third proportional to 25,774 and 54,316 is: 114,465.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,774 : 54,316 = 54,316 : x
  2. Step 2: Convert to fraction form
    25,774/54,316 = 54,316/x
  3. Step 3: Cross multiply
    25,774x = 54,316 × 54,316
  4. Step 4: Simplify right side
    25,774x = 2,950,227,856
  5. Step 5: Solve for x
    x = 2,950,227,856/25,774
  6. Step 6: Final answer
    x = 114,465.27

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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.