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Finding the Third Proportional to 17,532 and 25,683

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Solution

The third proportional to 17,532 and 25,683 is: 37,623.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,532 : 25,683 = 25,683 : x
  2. Step 2: Convert to fraction form
    17,532/25,683 = 25,683/x
  3. Step 3: Cross multiply
    17,532x = 25,683 × 25,683
  4. Step 4: Simplify right side
    17,532x = 659,616,489
  5. Step 5: Solve for x
    x = 659,616,489/17,532
  6. Step 6: Final answer
    x = 37,623.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.