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Finding the Third Proportional to 2,365.45 and 5,132.11

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Solution

The third proportional to 2,365.45 and 5,132.11 is: 11,134.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.45 : 5,132.11 = 5,132.11 : x
  2. Step 2: Convert to fraction form
    2,365.45/5,132.11 = 5,132.11/x
  3. Step 3: Cross multiply
    2,365.45x = 5,132.11 × 5,132.11
  4. Step 4: Simplify right side
    2,365.45x = 26,338,546.64
  5. Step 5: Solve for x
    x = 26,338,546.64/2,365.45
  6. Step 6: Final answer
    x = 11,134.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.