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Finding the Third Proportional to 14,561.44 and 31,197.94

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Solution

The third proportional to 14,561.44 and 31,197.94 is: 66,841.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,561.44 : 31,197.94 = 31,197.94 : x
  2. Step 2: Convert to fraction form
    14,561.44/31,197.94 = 31,197.94/x
  3. Step 3: Cross multiply
    14,561.44x = 31,197.94 × 31,197.94
  4. Step 4: Simplify right side
    14,561.44x = 973,311,304.25
  5. Step 5: Solve for x
    x = 973,311,304.25/14,561.44
  6. Step 6: Final answer
    x = 66,841.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.