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Finding the Third Proportional to 5,795.72 and 8,101.69

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Solution

The third proportional to 5,795.72 and 8,101.69 is: 11,325.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,795.72 : 8,101.69 = 8,101.69 : x
  2. Step 2: Convert to fraction form
    5,795.72/8,101.69 = 8,101.69/x
  3. Step 3: Cross multiply
    5,795.72x = 8,101.69 × 8,101.69
  4. Step 4: Simplify right side
    5,795.72x = 65,637,340.35
  5. Step 5: Solve for x
    x = 65,637,340.35/5,795.72
  6. Step 6: Final answer
    x = 11,325.14

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.