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Finding the Third Proportional to 25,872 and 57,591

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Solution

The third proportional to 25,872 and 57,591 is: 128,197.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,872 : 57,591 = 57,591 : x
  2. Step 2: Convert to fraction form
    25,872/57,591 = 57,591/x
  3. Step 3: Cross multiply
    25,872x = 57,591 × 57,591
  4. Step 4: Simplify right side
    25,872x = 3,316,723,281
  5. Step 5: Solve for x
    x = 3,316,723,281/25,872
  6. Step 6: Final answer
    x = 128,197.41

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.