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Finding the Third Proportional to 12,261.75 and 19,429.13

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Solution

The third proportional to 12,261.75 and 19,429.13 is: 30,786.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,261.75 : 19,429.13 = 19,429.13 : x
  2. Step 2: Convert to fraction form
    12,261.75/19,429.13 = 19,429.13/x
  3. Step 3: Cross multiply
    12,261.75x = 19,429.13 × 19,429.13
  4. Step 4: Simplify right side
    12,261.75x = 377,490,898.27
  5. Step 5: Solve for x
    x = 377,490,898.27/12,261.75
  6. Step 6: Final answer
    x = 30,786.05

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.