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Finding the Third Proportional to 15,973 and 25,005

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Solution

The third proportional to 15,973 and 25,005 is: 39,144.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,973 : 25,005 = 25,005 : x
  2. Step 2: Convert to fraction form
    15,973/25,005 = 25,005/x
  3. Step 3: Cross multiply
    15,973x = 25,005 × 25,005
  4. Step 4: Simplify right side
    15,973x = 625,250,025
  5. Step 5: Solve for x
    x = 625,250,025/15,973
  6. Step 6: Final answer
    x = 39,144.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.