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Finding the Third Proportional to 25,008 and 52,800

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Solution

The third proportional to 25,008 and 52,800 is: 111,477.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,008 : 52,800 = 52,800 : x
  2. Step 2: Convert to fraction form
    25,008/52,800 = 52,800/x
  3. Step 3: Cross multiply
    25,008x = 52,800 × 52,800
  4. Step 4: Simplify right side
    25,008x = 2,787,840,000
  5. Step 5: Solve for x
    x = 2,787,840,000/25,008
  6. Step 6: Final answer
    x = 111,477.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.