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Finding the Third Proportional to 17,365 and 25,933

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Solution

The third proportional to 17,365 and 25,933 is: 38,728.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,365 : 25,933 = 25,933 : x
  2. Step 2: Convert to fraction form
    17,365/25,933 = 25,933/x
  3. Step 3: Cross multiply
    17,365x = 25,933 × 25,933
  4. Step 4: Simplify right side
    17,365x = 672,520,489
  5. Step 5: Solve for x
    x = 672,520,489/17,365
  6. Step 6: Final answer
    x = 38,728.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.