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Finding the Third Proportional to 21,089 and 44,770

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Solution

The third proportional to 21,089 and 44,770 is: 95,042.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,089 : 44,770 = 44,770 : x
  2. Step 2: Convert to fraction form
    21,089/44,770 = 44,770/x
  3. Step 3: Cross multiply
    21,089x = 44,770 × 44,770
  4. Step 4: Simplify right side
    21,089x = 2,004,352,900
  5. Step 5: Solve for x
    x = 2,004,352,900/21,089
  6. Step 6: Final answer
    x = 95,042.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.