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Finding the Third Proportional to 25,460 and 54,838

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Solution

The third proportional to 25,460 and 54,838 is: 118,114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,460 : 54,838 = 54,838 : x
  2. Step 2: Convert to fraction form
    25,460/54,838 = 54,838/x
  3. Step 3: Cross multiply
    25,460x = 54,838 × 54,838
  4. Step 4: Simplify right side
    25,460x = 3,007,206,244
  5. Step 5: Solve for x
    x = 3,007,206,244/25,460
  6. Step 6: Final answer
    x = 118,114.93

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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.