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Finding the Third Proportional to 25,706 and 53,464

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Solution

The third proportional to 25,706 and 53,464 is: 111,195.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,706 : 53,464 = 53,464 : x
  2. Step 2: Convert to fraction form
    25,706/53,464 = 53,464/x
  3. Step 3: Cross multiply
    25,706x = 53,464 × 53,464
  4. Step 4: Simplify right side
    25,706x = 2,858,399,296
  5. Step 5: Solve for x
    x = 2,858,399,296/25,706
  6. Step 6: Final answer
    x = 111,195.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.