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Finding the Third Proportional to 8,110.13 and 19,107.77

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Solution

The third proportional to 8,110.13 and 19,107.77 is: 45,018.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110.13 : 19,107.77 = 19,107.77 : x
  2. Step 2: Convert to fraction form
    8,110.13/19,107.77 = 19,107.77/x
  3. Step 3: Cross multiply
    8,110.13x = 19,107.77 × 19,107.77
  4. Step 4: Simplify right side
    8,110.13x = 365,107,005.74
  5. Step 5: Solve for x
    x = 365,107,005.74/8,110.13
  6. Step 6: Final answer
    x = 45,018.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.