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Finding the Third Proportional to 14,175 and 31,041

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Solution

The third proportional to 14,175 and 31,041 is: 67,974.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,175 : 31,041 = 31,041 : x
  2. Step 2: Convert to fraction form
    14,175/31,041 = 31,041/x
  3. Step 3: Cross multiply
    14,175x = 31,041 × 31,041
  4. Step 4: Simplify right side
    14,175x = 963,543,681
  5. Step 5: Solve for x
    x = 963,543,681/14,175
  6. Step 6: Final answer
    x = 67,974.86

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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.