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Finding the Third Proportional to 25,857 and 39,537

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Solution

The third proportional to 25,857 and 39,537 is: 60,454.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,857 : 39,537 = 39,537 : x
  2. Step 2: Convert to fraction form
    25,857/39,537 = 39,537/x
  3. Step 3: Cross multiply
    25,857x = 39,537 × 39,537
  4. Step 4: Simplify right side
    25,857x = 1,563,174,369
  5. Step 5: Solve for x
    x = 1,563,174,369/25,857
  6. Step 6: Final answer
    x = 60,454.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.