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Finding the Third Proportional to 17,142.75 and 25,206.19

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Solution

The third proportional to 17,142.75 and 25,206.19 is: 37,062.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,142.75 : 25,206.19 = 25,206.19 : x
  2. Step 2: Convert to fraction form
    17,142.75/25,206.19 = 25,206.19/x
  3. Step 3: Cross multiply
    17,142.75x = 25,206.19 × 25,206.19
  4. Step 4: Simplify right side
    17,142.75x = 635,351,888.29
  5. Step 5: Solve for x
    x = 635,351,888.29/17,142.75
  6. Step 6: Final answer
    x = 37,062.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.