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Finding the Third Proportional to 25,884 and 57,000

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Solution

The third proportional to 25,884 and 57,000 is: 125,521.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,884 : 57,000 = 57,000 : x
  2. Step 2: Convert to fraction form
    25,884/57,000 = 57,000/x
  3. Step 3: Cross multiply
    25,884x = 57,000 × 57,000
  4. Step 4: Simplify right side
    25,884x = 3,249,000,000
  5. Step 5: Solve for x
    x = 3,249,000,000/25,884
  6. Step 6: Final answer
    x = 125,521.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.