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Finding the Third Proportional to 25,002 and 54,388

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Solution

The third proportional to 25,002 and 54,388 is: 118,312.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,002 : 54,388 = 54,388 : x
  2. Step 2: Convert to fraction form
    25,002/54,388 = 54,388/x
  3. Step 3: Cross multiply
    25,002x = 54,388 × 54,388
  4. Step 4: Simplify right side
    25,002x = 2,958,054,544
  5. Step 5: Solve for x
    x = 2,958,054,544/25,002
  6. Step 6: Final answer
    x = 118,312.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.