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Finding the Third Proportional to 9,047.91 and 13,052.81

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Solution

The third proportional to 9,047.91 and 13,052.81 is: 18,830.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047.91 : 13,052.81 = 13,052.81 : x
  2. Step 2: Convert to fraction form
    9,047.91/13,052.81 = 13,052.81/x
  3. Step 3: Cross multiply
    9,047.91x = 13,052.81 × 13,052.81
  4. Step 4: Simplify right side
    9,047.91x = 170,375,914.16
  5. Step 5: Solve for x
    x = 170,375,914.16/9,047.91
  6. Step 6: Final answer
    x = 18,830.42

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.