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Finding the Third Proportional to 9,635.50 and 21,017

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Solution

The third proportional to 9,635.50 and 21,017 is: 45,842.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.50 : 21,017 = 21,017 : x
  2. Step 2: Convert to fraction form
    9,635.50/21,017 = 21,017/x
  3. Step 3: Cross multiply
    9,635.50x = 21,017 × 21,017
  4. Step 4: Simplify right side
    9,635.50x = 441,714,289
  5. Step 5: Solve for x
    x = 441,714,289/9,635.50
  6. Step 6: Final answer
    x = 45,842.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.