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Finding the Third Proportional to 25,218 and 54,856

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Solution

The third proportional to 25,218 and 54,856 is: 119,326.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,218 : 54,856 = 54,856 : x
  2. Step 2: Convert to fraction form
    25,218/54,856 = 54,856/x
  3. Step 3: Cross multiply
    25,218x = 54,856 × 54,856
  4. Step 4: Simplify right side
    25,218x = 3,009,180,736
  5. Step 5: Solve for x
    x = 3,009,180,736/25,218
  6. Step 6: Final answer
    x = 119,326.70

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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.