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Finding the Third Proportional to 13,725.91 and 29,969.16

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Solution

The third proportional to 13,725.91 and 29,969.16 is: 65,434.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,725.91 : 29,969.16 = 29,969.16 : x
  2. Step 2: Convert to fraction form
    13,725.91/29,969.16 = 29,969.16/x
  3. Step 3: Cross multiply
    13,725.91x = 29,969.16 × 29,969.16
  4. Step 4: Simplify right side
    13,725.91x = 898,150,326.34
  5. Step 5: Solve for x
    x = 898,150,326.34/13,725.91
  6. Step 6: Final answer
    x = 65,434.65

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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.