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Finding the Third Proportional to 17,283 and 37,914

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Solution

The third proportional to 17,283 and 37,914 is: 83,172.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,283 : 37,914 = 37,914 : x
  2. Step 2: Convert to fraction form
    17,283/37,914 = 37,914/x
  3. Step 3: Cross multiply
    17,283x = 37,914 × 37,914
  4. Step 4: Simplify right side
    17,283x = 1,437,471,396
  5. Step 5: Solve for x
    x = 1,437,471,396/17,283
  6. Step 6: Final answer
    x = 83,172.56

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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.