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Finding the Third Proportional to 9,714 and 14,753

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Solution

The third proportional to 9,714 and 14,753 is: 22,405.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714 : 14,753 = 14,753 : x
  2. Step 2: Convert to fraction form
    9,714/14,753 = 14,753/x
  3. Step 3: Cross multiply
    9,714x = 14,753 × 14,753
  4. Step 4: Simplify right side
    9,714x = 217,651,009
  5. Step 5: Solve for x
    x = 217,651,009/9,714
  6. Step 6: Final answer
    x = 22,405.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.