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Finding the Third Proportional to 7,102.13 and 16,107.75

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Solution

The third proportional to 7,102.13 and 16,107.75 is: 36,532.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.13 : 16,107.75 = 16,107.75 : x
  2. Step 2: Convert to fraction form
    7,102.13/16,107.75 = 16,107.75/x
  3. Step 3: Cross multiply
    7,102.13x = 16,107.75 × 16,107.75
  4. Step 4: Simplify right side
    7,102.13x = 259,459,610.06
  5. Step 5: Solve for x
    x = 259,459,610.06/7,102.13
  6. Step 6: Final answer
    x = 36,532.67

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.