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Finding the Third Proportional to 43,506 and 58,266

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Solution

The third proportional to 43,506 and 58,266 is: 78,033.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,506 : 58,266 = 58,266 : x
  2. Step 2: Convert to fraction form
    43,506/58,266 = 58,266/x
  3. Step 3: Cross multiply
    43,506x = 58,266 × 58,266
  4. Step 4: Simplify right side
    43,506x = 3,394,926,756
  5. Step 5: Solve for x
    x = 3,394,926,756/43,506
  6. Step 6: Final answer
    x = 78,033.53

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.