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Finding the Third Proportional to 16,452 and 37,666

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Solution

The third proportional to 16,452 and 37,666 is: 86,234.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,452 : 37,666 = 37,666 : x
  2. Step 2: Convert to fraction form
    16,452/37,666 = 37,666/x
  3. Step 3: Cross multiply
    16,452x = 37,666 × 37,666
  4. Step 4: Simplify right side
    16,452x = 1,418,727,556
  5. Step 5: Solve for x
    x = 1,418,727,556/16,452
  6. Step 6: Final answer
    x = 86,234.35

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.