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Finding the Third Proportional to 10,729.02 and 21,749.92

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Solution

The third proportional to 10,729.02 and 21,749.92 is: 44,091.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.02 : 21,749.92 = 21,749.92 : x
  2. Step 2: Convert to fraction form
    10,729.02/21,749.92 = 21,749.92/x
  3. Step 3: Cross multiply
    10,729.02x = 21,749.92 × 21,749.92
  4. Step 4: Simplify right side
    10,729.02x = 473,059,186.53
  5. Step 5: Solve for x
    x = 473,059,186.53/10,729.02
  6. Step 6: Final answer
    x = 44,091.56

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.