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Finding the Third Proportional to 15,973 and 25,006

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Solution

The third proportional to 15,973 and 25,006 is: 39,147.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,973 : 25,006 = 25,006 : x
  2. Step 2: Convert to fraction form
    15,973/25,006 = 25,006/x
  3. Step 3: Cross multiply
    15,973x = 25,006 × 25,006
  4. Step 4: Simplify right side
    15,973x = 625,300,036
  5. Step 5: Solve for x
    x = 625,300,036/15,973
  6. Step 6: Final answer
    x = 39,147.31

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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.