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Finding the Third Proportional to 14,756 and 31,504

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Solution

The third proportional to 14,756 and 31,504 is: 67,260.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,756 : 31,504 = 31,504 : x
  2. Step 2: Convert to fraction form
    14,756/31,504 = 31,504/x
  3. Step 3: Cross multiply
    14,756x = 31,504 × 31,504
  4. Step 4: Simplify right side
    14,756x = 992,502,016
  5. Step 5: Solve for x
    x = 992,502,016/14,756
  6. Step 6: Final answer
    x = 67,260.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.