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Finding the Third Proportional to 13,650.19 and 21,704.63

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Solution

The third proportional to 13,650.19 and 21,704.63 is: 34,511.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,650.19 : 21,704.63 = 21,704.63 : x
  2. Step 2: Convert to fraction form
    13,650.19/21,704.63 = 21,704.63/x
  3. Step 3: Cross multiply
    13,650.19x = 21,704.63 × 21,704.63
  4. Step 4: Simplify right side
    13,650.19x = 471,090,746.39
  5. Step 5: Solve for x
    x = 471,090,746.39/13,650.19
  6. Step 6: Final answer
    x = 34,511.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.