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Finding the Third Proportional to 14,714 and 31,828

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Solution

The third proportional to 14,714 and 31,828 is: 68,847.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,714 : 31,828 = 31,828 : x
  2. Step 2: Convert to fraction form
    14,714/31,828 = 31,828/x
  3. Step 3: Cross multiply
    14,714x = 31,828 × 31,828
  4. Step 4: Simplify right side
    14,714x = 1,013,021,584
  5. Step 5: Solve for x
    x = 1,013,021,584/14,714
  6. Step 6: Final answer
    x = 68,847.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.