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Finding the Third Proportional to 13,800.19 and 29,786.06

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Solution

The third proportional to 13,800.19 and 29,786.06 is: 64,289.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800.19 : 29,786.06 = 29,786.06 : x
  2. Step 2: Convert to fraction form
    13,800.19/29,786.06 = 29,786.06/x
  3. Step 3: Cross multiply
    13,800.19x = 29,786.06 × 29,786.06
  4. Step 4: Simplify right side
    13,800.19x = 887,209,519.25
  5. Step 5: Solve for x
    x = 887,209,519.25/13,800.19
  6. Step 6: Final answer
    x = 64,289.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.