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Finding the Third Proportional to 30,259.50 and 73,218

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Solution

The third proportional to 30,259.50 and 73,218 is: 177,163.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,259.50 : 73,218 = 73,218 : x
  2. Step 2: Convert to fraction form
    30,259.50/73,218 = 73,218/x
  3. Step 3: Cross multiply
    30,259.50x = 73,218 × 73,218
  4. Step 4: Simplify right side
    30,259.50x = 5,360,875,524
  5. Step 5: Solve for x
    x = 5,360,875,524/30,259.50
  6. Step 6: Final answer
    x = 177,163.39

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.