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Finding the Third Proportional to 17,954 and 38,746

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Solution

The third proportional to 17,954 and 38,746 is: 83,616.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,954 : 38,746 = 38,746 : x
  2. Step 2: Convert to fraction form
    17,954/38,746 = 38,746/x
  3. Step 3: Cross multiply
    17,954x = 38,746 × 38,746
  4. Step 4: Simplify right side
    17,954x = 1,501,252,516
  5. Step 5: Solve for x
    x = 1,501,252,516/17,954
  6. Step 6: Final answer
    x = 83,616.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.