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Finding the Third Proportional to 13,405.63 and 26,474.38

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Solution

The third proportional to 13,405.63 and 26,474.38 is: 52,283.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.63 : 26,474.38 = 26,474.38 : x
  2. Step 2: Convert to fraction form
    13,405.63/26,474.38 = 26,474.38/x
  3. Step 3: Cross multiply
    13,405.63x = 26,474.38 × 26,474.38
  4. Step 4: Simplify right side
    13,405.63x = 700,892,531.64
  5. Step 5: Solve for x
    x = 700,892,531.64/13,405.63
  6. Step 6: Final answer
    x = 52,283.47

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.