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Finding the Third Proportional to 9,586 and 20,714

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Solution

The third proportional to 9,586 and 20,714 is: 44,760.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586 : 20,714 = 20,714 : x
  2. Step 2: Convert to fraction form
    9,586/20,714 = 20,714/x
  3. Step 3: Cross multiply
    9,586x = 20,714 × 20,714
  4. Step 4: Simplify right side
    9,586x = 429,069,796
  5. Step 5: Solve for x
    x = 429,069,796/9,586
  6. Step 6: Final answer
    x = 44,760.05

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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.