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Finding the Third Proportional to 30,163.50 and 67,461

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Solution

The third proportional to 30,163.50 and 67,461 is: 150,877.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,163.50 : 67,461 = 67,461 : x
  2. Step 2: Convert to fraction form
    30,163.50/67,461 = 67,461/x
  3. Step 3: Cross multiply
    30,163.50x = 67,461 × 67,461
  4. Step 4: Simplify right side
    30,163.50x = 4,550,986,521
  5. Step 5: Solve for x
    x = 4,550,986,521/30,163.50
  6. Step 6: Final answer
    x = 150,877.27

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.