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Finding the Third Proportional to 30,834.42 and 67,375.55

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Solution

The third proportional to 30,834.42 and 67,375.55 is: 147,220.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,834.42 : 67,375.55 = 67,375.55 : x
  2. Step 2: Convert to fraction form
    30,834.42/67,375.55 = 67,375.55/x
  3. Step 3: Cross multiply
    30,834.42x = 67,375.55 × 67,375.55
  4. Step 4: Simplify right side
    30,834.42x = 4,539,464,316.71
  5. Step 5: Solve for x
    x = 4,539,464,316.71/30,834.42
  6. Step 6: Final answer
    x = 147,220.67

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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.