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Finding the Third Proportional to 21,044 and 44,035

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Solution

The third proportional to 21,044 and 44,035 is: 92,144.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,044 : 44,035 = 44,035 : x
  2. Step 2: Convert to fraction form
    21,044/44,035 = 44,035/x
  3. Step 3: Cross multiply
    21,044x = 44,035 × 44,035
  4. Step 4: Simplify right side
    21,044x = 1,939,081,225
  5. Step 5: Solve for x
    x = 1,939,081,225/21,044
  6. Step 6: Final answer
    x = 92,144.14

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.