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Finding the Third Proportional to 25,287 and 51,291

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Solution

The third proportional to 25,287 and 51,291 is: 104,036.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,287 : 51,291 = 51,291 : x
  2. Step 2: Convert to fraction form
    25,287/51,291 = 51,291/x
  3. Step 3: Cross multiply
    25,287x = 51,291 × 51,291
  4. Step 4: Simplify right side
    25,287x = 2,630,766,681
  5. Step 5: Solve for x
    x = 2,630,766,681/25,287
  6. Step 6: Final answer
    x = 104,036.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.