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Finding the Third Proportional to 13,381.50 and 29,145.75

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Solution

The third proportional to 13,381.50 and 29,145.75 is: 63,481.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.50 : 29,145.75 = 29,145.75 : x
  2. Step 2: Convert to fraction form
    13,381.50/29,145.75 = 29,145.75/x
  3. Step 3: Cross multiply
    13,381.50x = 29,145.75 × 29,145.75
  4. Step 4: Simplify right side
    13,381.50x = 849,474,743.06
  5. Step 5: Solve for x
    x = 849,474,743.06/13,381.50
  6. Step 6: Final answer
    x = 63,481.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.