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Finding the Third Proportional to 26,004 and 31,668

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Solution

The third proportional to 26,004 and 31,668 is: 38,565.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,004 : 31,668 = 31,668 : x
  2. Step 2: Convert to fraction form
    26,004/31,668 = 31,668/x
  3. Step 3: Cross multiply
    26,004x = 31,668 × 31,668
  4. Step 4: Simplify right side
    26,004x = 1,002,862,224
  5. Step 5: Solve for x
    x = 1,002,862,224/26,004
  6. Step 6: Final answer
    x = 38,565.69

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.