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Finding the Third Proportional to 7,886.81 and 17,373.94

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Solution

The third proportional to 7,886.81 and 17,373.94 is: 38,273.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.81 : 17,373.94 = 17,373.94 : x
  2. Step 2: Convert to fraction form
    7,886.81/17,373.94 = 17,373.94/x
  3. Step 3: Cross multiply
    7,886.81x = 17,373.94 × 17,373.94
  4. Step 4: Simplify right side
    7,886.81x = 301,853,704.25
  5. Step 5: Solve for x
    x = 301,853,704.25/7,886.81
  6. Step 6: Final answer
    x = 38,273.22

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.