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Finding the Third Proportional to 10,714 and 15,653

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Solution

The third proportional to 10,714 and 15,653 is: 22,868.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714 : 15,653 = 15,653 : x
  2. Step 2: Convert to fraction form
    10,714/15,653 = 15,653/x
  3. Step 3: Cross multiply
    10,714x = 15,653 × 15,653
  4. Step 4: Simplify right side
    10,714x = 245,016,409
  5. Step 5: Solve for x
    x = 245,016,409/10,714
  6. Step 6: Final answer
    x = 22,868.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.