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Finding the Third Proportional to 12,129.75 and 16,302.09

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Solution

The third proportional to 12,129.75 and 16,302.09 is: 21,909.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.75 : 16,302.09 = 16,302.09 : x
  2. Step 2: Convert to fraction form
    12,129.75/16,302.09 = 16,302.09/x
  3. Step 3: Cross multiply
    12,129.75x = 16,302.09 × 16,302.09
  4. Step 4: Simplify right side
    12,129.75x = 265,758,260.63
  5. Step 5: Solve for x
    x = 265,758,260.63/12,129.75
  6. Step 6: Final answer
    x = 21,909.62

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.