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Finding the Third Proportional to 14,344.98 and 31,072.14

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Solution

The third proportional to 14,344.98 and 31,072.14 is: 67,304.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,344.98 : 31,072.14 = 31,072.14 : x
  2. Step 2: Convert to fraction form
    14,344.98/31,072.14 = 31,072.14/x
  3. Step 3: Cross multiply
    14,344.98x = 31,072.14 × 31,072.14
  4. Step 4: Simplify right side
    14,344.98x = 965,477,923.02
  5. Step 5: Solve for x
    x = 965,477,923.02/14,344.98
  6. Step 6: Final answer
    x = 67,304.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.