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Finding the Third Proportional to 14,381.44 and 31,426.88

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Solution

The third proportional to 14,381.44 and 31,426.88 is: 68,675.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,381.44 : 31,426.88 = 31,426.88 : x
  2. Step 2: Convert to fraction form
    14,381.44/31,426.88 = 31,426.88/x
  3. Step 3: Cross multiply
    14,381.44x = 31,426.88 × 31,426.88
  4. Step 4: Simplify right side
    14,381.44x = 987,648,472.27
  5. Step 5: Solve for x
    x = 987,648,472.27/14,381.44
  6. Step 6: Final answer
    x = 68,675.23

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Why These Related Problems?

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