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Finding the Third Proportional to 13,973 and 31,595

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Solution

The third proportional to 13,973 and 31,595 is: 71,440.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,973 : 31,595 = 31,595 : x
  2. Step 2: Convert to fraction form
    13,973/31,595 = 31,595/x
  3. Step 3: Cross multiply
    13,973x = 31,595 × 31,595
  4. Step 4: Simplify right side
    13,973x = 998,244,025
  5. Step 5: Solve for x
    x = 998,244,025/13,973
  6. Step 6: Final answer
    x = 71,440.92

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.