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Finding the Third Proportional to 12,401.44 and 29,269.31

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Solution

The third proportional to 12,401.44 and 29,269.31 is: 69,080.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,401.44 : 29,269.31 = 29,269.31 : x
  2. Step 2: Convert to fraction form
    12,401.44/29,269.31 = 29,269.31/x
  3. Step 3: Cross multiply
    12,401.44x = 29,269.31 × 29,269.31
  4. Step 4: Simplify right side
    12,401.44x = 856,692,654.22
  5. Step 5: Solve for x
    x = 856,692,654.22/12,401.44
  6. Step 6: Final answer
    x = 69,080.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.