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Finding the Third Proportional to 5,869.97 and 9,090.67

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Solution

The third proportional to 5,869.97 and 9,090.67 is: 14,078.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869.97 : 9,090.67 = 9,090.67 : x
  2. Step 2: Convert to fraction form
    5,869.97/9,090.67 = 9,090.67/x
  3. Step 3: Cross multiply
    5,869.97x = 9,090.67 × 9,090.67
  4. Step 4: Simplify right side
    5,869.97x = 82,640,244.12
  5. Step 5: Solve for x
    x = 82,640,244.12/5,869.97
  6. Step 6: Final answer
    x = 14,078.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.