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Finding the Third Proportional to 21,110.63 and 29,687.63

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Solution

The third proportional to 21,110.63 and 29,687.63 is: 41,749.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,110.63 : 29,687.63 = 29,687.63 : x
  2. Step 2: Convert to fraction form
    21,110.63/29,687.63 = 29,687.63/x
  3. Step 3: Cross multiply
    21,110.63x = 29,687.63 × 29,687.63
  4. Step 4: Simplify right side
    21,110.63x = 881,355,078.14
  5. Step 5: Solve for x
    x = 881,355,078.14/21,110.63
  6. Step 6: Final answer
    x = 41,749.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.