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Finding the Third Proportional to 17,662 and 37,430

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Solution

The third proportional to 17,662 and 37,430 is: 79,323.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,662 : 37,430 = 37,430 : x
  2. Step 2: Convert to fraction form
    17,662/37,430 = 37,430/x
  3. Step 3: Cross multiply
    17,662x = 37,430 × 37,430
  4. Step 4: Simplify right side
    17,662x = 1,401,004,900
  5. Step 5: Solve for x
    x = 1,401,004,900/17,662
  6. Step 6: Final answer
    x = 79,323.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.