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Finding the Third Proportional to 18,317 and 39,004

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Solution

The third proportional to 18,317 and 39,004 is: 83,054.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,317 : 39,004 = 39,004 : x
  2. Step 2: Convert to fraction form
    18,317/39,004 = 39,004/x
  3. Step 3: Cross multiply
    18,317x = 39,004 × 39,004
  4. Step 4: Simplify right side
    18,317x = 1,521,312,016
  5. Step 5: Solve for x
    x = 1,521,312,016/18,317
  6. Step 6: Final answer
    x = 83,054.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.