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Finding the Third Proportional to 30,537 and 67,635

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Solution

The third proportional to 30,537 and 67,635 is: 149,801.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,537 : 67,635 = 67,635 : x
  2. Step 2: Convert to fraction form
    30,537/67,635 = 67,635/x
  3. Step 3: Cross multiply
    30,537x = 67,635 × 67,635
  4. Step 4: Simplify right side
    30,537x = 4,574,493,225
  5. Step 5: Solve for x
    x = 4,574,493,225/30,537
  6. Step 6: Final answer
    x = 149,801.66

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.