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Finding the Third Proportional to 8,520.19 and 17,465.06

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Solution

The third proportional to 8,520.19 and 17,465.06 is: 35,800.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520.19 : 17,465.06 = 17,465.06 : x
  2. Step 2: Convert to fraction form
    8,520.19/17,465.06 = 17,465.06/x
  3. Step 3: Cross multiply
    8,520.19x = 17,465.06 × 17,465.06
  4. Step 4: Simplify right side
    8,520.19x = 305,028,408.13
  5. Step 5: Solve for x
    x = 305,028,408.13/8,520.19
  6. Step 6: Final answer
    x = 35,800.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.