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Finding the Third Proportional to 16,024 and 37,430

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Solution

The third proportional to 16,024 and 37,430 is: 87,431.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024 : 37,430 = 37,430 : x
  2. Step 2: Convert to fraction form
    16,024/37,430 = 37,430/x
  3. Step 3: Cross multiply
    16,024x = 37,430 × 37,430
  4. Step 4: Simplify right side
    16,024x = 1,401,004,900
  5. Step 5: Solve for x
    x = 1,401,004,900/16,024
  6. Step 6: Final answer
    x = 87,431.66

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.