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Finding the Third Proportional to 25,969 and 38,984

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Solution

The third proportional to 25,969 and 38,984 is: 58,521.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,969 : 38,984 = 38,984 : x
  2. Step 2: Convert to fraction form
    25,969/38,984 = 38,984/x
  3. Step 3: Cross multiply
    25,969x = 38,984 × 38,984
  4. Step 4: Simplify right side
    25,969x = 1,519,752,256
  5. Step 5: Solve for x
    x = 1,519,752,256/25,969
  6. Step 6: Final answer
    x = 58,521.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.