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Finding the Third Proportional to 30,904.50 and 67,821

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Solution

The third proportional to 30,904.50 and 67,821 is: 148,835.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,904.50 : 67,821 = 67,821 : x
  2. Step 2: Convert to fraction form
    30,904.50/67,821 = 67,821/x
  3. Step 3: Cross multiply
    30,904.50x = 67,821 × 67,821
  4. Step 4: Simplify right side
    30,904.50x = 4,599,688,041
  5. Step 5: Solve for x
    x = 4,599,688,041/30,904.50
  6. Step 6: Final answer
    x = 148,835.54

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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.