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Finding the Third Proportional to 16,129.13 and 21,832.03

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Solution

The third proportional to 16,129.13 and 21,832.03 is: 29,551.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,129.13 : 21,832.03 = 21,832.03 : x
  2. Step 2: Convert to fraction form
    16,129.13/21,832.03 = 21,832.03/x
  3. Step 3: Cross multiply
    16,129.13x = 21,832.03 × 21,832.03
  4. Step 4: Simplify right side
    16,129.13x = 476,637,588.50
  5. Step 5: Solve for x
    x = 476,637,588.50/16,129.13
  6. Step 6: Final answer
    x = 29,551.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.