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Finding the Third Proportional to 13,645.13 and 29,968.31

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Solution

The third proportional to 13,645.13 and 29,968.31 is: 65,818.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.13 : 29,968.31 = 29,968.31 : x
  2. Step 2: Convert to fraction form
    13,645.13/29,968.31 = 29,968.31/x
  3. Step 3: Cross multiply
    13,645.13x = 29,968.31 × 29,968.31
  4. Step 4: Simplify right side
    13,645.13x = 898,099,754.10
  5. Step 5: Solve for x
    x = 898,099,754.10/13,645.13
  6. Step 6: Final answer
    x = 65,818.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.