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Finding the Third Proportional to 17,224 and 37,740

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Solution

The third proportional to 17,224 and 37,740 is: 82,693.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,224 : 37,740 = 37,740 : x
  2. Step 2: Convert to fraction form
    17,224/37,740 = 37,740/x
  3. Step 3: Cross multiply
    17,224x = 37,740 × 37,740
  4. Step 4: Simplify right side
    17,224x = 1,424,307,600
  5. Step 5: Solve for x
    x = 1,424,307,600/17,224
  6. Step 6: Final answer
    x = 82,693.20

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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.