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Finding the Third Proportional to 14,169.09 and 31,031.44

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Solution

The third proportional to 14,169.09 and 31,031.44 is: 67,961.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,169.09 : 31,031.44 = 31,031.44 : x
  2. Step 2: Convert to fraction form
    14,169.09/31,031.44 = 31,031.44/x
  3. Step 3: Cross multiply
    14,169.09x = 31,031.44 × 31,031.44
  4. Step 4: Simplify right side
    14,169.09x = 962,950,113.32
  5. Step 5: Solve for x
    x = 962,950,113.32/14,169.09
  6. Step 6: Final answer
    x = 67,961.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.