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Finding the Third Proportional to 25,677 and 53,838

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Solution

The third proportional to 25,677 and 53,838 is: 112,884.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,677 : 53,838 = 53,838 : x
  2. Step 2: Convert to fraction form
    25,677/53,838 = 53,838/x
  3. Step 3: Cross multiply
    25,677x = 53,838 × 53,838
  4. Step 4: Simplify right side
    25,677x = 2,898,530,244
  5. Step 5: Solve for x
    x = 2,898,530,244/25,677
  6. Step 6: Final answer
    x = 112,884.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.