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Finding the Third Proportional to 17,743.50 and 38,943

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Solution

The third proportional to 17,743.50 and 38,943 is: 85,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,743.50 : 38,943 = 38,943 : x
  2. Step 2: Convert to fraction form
    17,743.50/38,943 = 38,943/x
  3. Step 3: Cross multiply
    17,743.50x = 38,943 × 38,943
  4. Step 4: Simplify right side
    17,743.50x = 1,516,557,249
  5. Step 5: Solve for x
    x = 1,516,557,249/17,743.50
  6. Step 6: Final answer
    x = 85,471.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.