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Finding the Third Proportional to 4,634.02 and 9,997.03

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Solution

The third proportional to 4,634.02 and 9,997.03 is: 21,566.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634.02 : 9,997.03 = 9,997.03 : x
  2. Step 2: Convert to fraction form
    4,634.02/9,997.03 = 9,997.03/x
  3. Step 3: Cross multiply
    4,634.02x = 9,997.03 × 9,997.03
  4. Step 4: Simplify right side
    4,634.02x = 99,940,633.81
  5. Step 5: Solve for x
    x = 99,940,633.81/4,634.02
  6. Step 6: Final answer
    x = 21,566.75

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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.