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Finding the Third Proportional to 25,005 and 53,451

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Solution

The third proportional to 25,005 and 53,451 is: 114,257.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,005 : 53,451 = 53,451 : x
  2. Step 2: Convert to fraction form
    25,005/53,451 = 53,451/x
  3. Step 3: Cross multiply
    25,005x = 53,451 × 53,451
  4. Step 4: Simplify right side
    25,005x = 2,857,009,401
  5. Step 5: Solve for x
    x = 2,857,009,401/25,005
  6. Step 6: Final answer
    x = 114,257.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.