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Finding the Third Proportional to 43,202 and 66,647

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Solution

The third proportional to 43,202 and 66,647 is: 102,815.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,202 : 66,647 = 66,647 : x
  2. Step 2: Convert to fraction form
    43,202/66,647 = 66,647/x
  3. Step 3: Cross multiply
    43,202x = 66,647 × 66,647
  4. Step 4: Simplify right side
    43,202x = 4,441,822,609
  5. Step 5: Solve for x
    x = 4,441,822,609/43,202
  6. Step 6: Final answer
    x = 102,815.21

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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.