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Finding the Third Proportional to 25,764 and 54,295

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Solution

The third proportional to 25,764 and 54,295 is: 114,421.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,764 : 54,295 = 54,295 : x
  2. Step 2: Convert to fraction form
    25,764/54,295 = 54,295/x
  3. Step 3: Cross multiply
    25,764x = 54,295 × 54,295
  4. Step 4: Simplify right side
    25,764x = 2,947,947,025
  5. Step 5: Solve for x
    x = 2,947,947,025/25,764
  6. Step 6: Final answer
    x = 114,421.17

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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.