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Finding the Third Proportional to 9,071.37 and 13,743.42

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Solution

The third proportional to 9,071.37 and 13,743.42 is: 20,821.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.37 : 13,743.42 = 13,743.42 : x
  2. Step 2: Convert to fraction form
    9,071.37/13,743.42 = 13,743.42/x
  3. Step 3: Cross multiply
    9,071.37x = 13,743.42 × 13,743.42
  4. Step 4: Simplify right side
    9,071.37x = 188,881,644.83
  5. Step 5: Solve for x
    x = 188,881,644.83/9,071.37
  6. Step 6: Final answer
    x = 20,821.74

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.