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Finding the Third Proportional to 21,033 and 44,013

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Solution

The third proportional to 21,033 and 44,013 is: 92,100.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,033 : 44,013 = 44,013 : x
  2. Step 2: Convert to fraction form
    21,033/44,013 = 44,013/x
  3. Step 3: Cross multiply
    21,033x = 44,013 × 44,013
  4. Step 4: Simplify right side
    21,033x = 1,937,144,169
  5. Step 5: Solve for x
    x = 1,937,144,169/21,033
  6. Step 6: Final answer
    x = 92,100.23

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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.