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Finding the Third Proportional to 43,581 and 67,329

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Solution

The third proportional to 43,581 and 67,329 is: 104,017.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,581 : 67,329 = 67,329 : x
  2. Step 2: Convert to fraction form
    43,581/67,329 = 67,329/x
  3. Step 3: Cross multiply
    43,581x = 67,329 × 67,329
  4. Step 4: Simplify right side
    43,581x = 4,533,194,241
  5. Step 5: Solve for x
    x = 4,533,194,241/43,581
  6. Step 6: Final answer
    x = 104,017.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.