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Finding the Third Proportional to 13,694.63 and 21,146.63

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Solution

The third proportional to 13,694.63 and 21,146.63 is: 32,653.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694.63 : 21,146.63 = 21,146.63 : x
  2. Step 2: Convert to fraction form
    13,694.63/21,146.63 = 21,146.63/x
  3. Step 3: Cross multiply
    13,694.63x = 21,146.63 × 21,146.63
  4. Step 4: Simplify right side
    13,694.63x = 447,179,748.89
  5. Step 5: Solve for x
    x = 447,179,748.89/13,694.63
  6. Step 6: Final answer
    x = 32,653.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.