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Finding the Third Proportional to 16,634 and 38,513

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Solution

The third proportional to 16,634 and 38,513 is: 89,169.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,634 : 38,513 = 38,513 : x
  2. Step 2: Convert to fraction form
    16,634/38,513 = 38,513/x
  3. Step 3: Cross multiply
    16,634x = 38,513 × 38,513
  4. Step 4: Simplify right side
    16,634x = 1,483,251,169
  5. Step 5: Solve for x
    x = 1,483,251,169/16,634
  6. Step 6: Final answer
    x = 89,169.84

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.