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Finding the Third Proportional to 25,487 and 39,794

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Solution

The third proportional to 25,487 and 39,794 is: 62,132.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,487 : 39,794 = 39,794 : x
  2. Step 2: Convert to fraction form
    25,487/39,794 = 39,794/x
  3. Step 3: Cross multiply
    25,487x = 39,794 × 39,794
  4. Step 4: Simplify right side
    25,487x = 1,583,562,436
  5. Step 5: Solve for x
    x = 1,583,562,436/25,487
  6. Step 6: Final answer
    x = 62,132.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.