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Finding the Third Proportional to 25,077 and 53,418

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Solution

The third proportional to 25,077 and 53,418 is: 113,788.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,077 : 53,418 = 53,418 : x
  2. Step 2: Convert to fraction form
    25,077/53,418 = 53,418/x
  3. Step 3: Cross multiply
    25,077x = 53,418 × 53,418
  4. Step 4: Simplify right side
    25,077x = 2,853,482,724
  5. Step 5: Solve for x
    x = 2,853,482,724/25,077
  6. Step 6: Final answer
    x = 113,788.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.