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Finding the Third Proportional to 25,184 and 31,984

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Solution

The third proportional to 25,184 and 31,984 is: 40,620.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,184 : 31,984 = 31,984 : x
  2. Step 2: Convert to fraction form
    25,184/31,984 = 31,984/x
  3. Step 3: Cross multiply
    25,184x = 31,984 × 31,984
  4. Step 4: Simplify right side
    25,184x = 1,022,976,256
  5. Step 5: Solve for x
    x = 1,022,976,256/25,184
  6. Step 6: Final answer
    x = 40,620.09

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.