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Finding the Third Proportional to 13,906 and 32,811

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Solution

The third proportional to 13,906 and 32,811 is: 77,417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906 : 32,811 = 32,811 : x
  2. Step 2: Convert to fraction form
    13,906/32,811 = 32,811/x
  3. Step 3: Cross multiply
    13,906x = 32,811 × 32,811
  4. Step 4: Simplify right side
    13,906x = 1,076,561,721
  5. Step 5: Solve for x
    x = 1,076,561,721/13,906
  6. Step 6: Final answer
    x = 77,417.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.