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Finding the Third Proportional to 28,573 and 62,683

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Solution

The third proportional to 28,573 and 62,683 is: 137,512.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,573 : 62,683 = 62,683 : x
  2. Step 2: Convert to fraction form
    28,573/62,683 = 62,683/x
  3. Step 3: Cross multiply
    28,573x = 62,683 × 62,683
  4. Step 4: Simplify right side
    28,573x = 3,929,158,489
  5. Step 5: Solve for x
    x = 3,929,158,489/28,573
  6. Step 6: Final answer
    x = 137,512.98

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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.