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Finding the Third Proportional to 41,764 and 62,666

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Solution

The third proportional to 41,764 and 62,666 is: 94,029.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,764 : 62,666 = 62,666 : x
  2. Step 2: Convert to fraction form
    41,764/62,666 = 62,666/x
  3. Step 3: Cross multiply
    41,764x = 62,666 × 62,666
  4. Step 4: Simplify right side
    41,764x = 3,927,027,556
  5. Step 5: Solve for x
    x = 3,927,027,556/41,764
  6. Step 6: Final answer
    x = 94,029.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.