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Finding the Third Proportional to 9,005 and 21,035

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Solution

The third proportional to 9,005 and 21,035 is: 49,136.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005 : 21,035 = 21,035 : x
  2. Step 2: Convert to fraction form
    9,005/21,035 = 21,035/x
  3. Step 3: Cross multiply
    9,005x = 21,035 × 21,035
  4. Step 4: Simplify right side
    9,005x = 442,471,225
  5. Step 5: Solve for x
    x = 442,471,225/9,005
  6. Step 6: Final answer
    x = 49,136.17

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.