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Finding the Third Proportional to 12,129.75 and 17,722.13

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Solution

The third proportional to 12,129.75 and 17,722.13 is: 25,892.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.75 : 17,722.13 = 17,722.13 : x
  2. Step 2: Convert to fraction form
    12,129.75/17,722.13 = 17,722.13/x
  3. Step 3: Cross multiply
    12,129.75x = 17,722.13 × 17,722.13
  4. Step 4: Simplify right side
    12,129.75x = 314,073,714.52
  5. Step 5: Solve for x
    x = 314,073,714.52/12,129.75
  6. Step 6: Final answer
    x = 25,892.84

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.