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Finding the Third Proportional to 25,416 and 53,736

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Solution

The third proportional to 25,416 and 53,736 is: 113,611.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,416 : 53,736 = 53,736 : x
  2. Step 2: Convert to fraction form
    25,416/53,736 = 53,736/x
  3. Step 3: Cross multiply
    25,416x = 53,736 × 53,736
  4. Step 4: Simplify right side
    25,416x = 2,887,557,696
  5. Step 5: Solve for x
    x = 2,887,557,696/25,416
  6. Step 6: Final answer
    x = 113,611.81

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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.