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Finding the Third Proportional to 21,120.50 and 44,930

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Solution

The third proportional to 21,120.50 and 44,930 is: 95,580.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,120.50 : 44,930 = 44,930 : x
  2. Step 2: Convert to fraction form
    21,120.50/44,930 = 44,930/x
  3. Step 3: Cross multiply
    21,120.50x = 44,930 × 44,930
  4. Step 4: Simplify right side
    21,120.50x = 2,018,704,900
  5. Step 5: Solve for x
    x = 2,018,704,900/21,120.50
  6. Step 6: Final answer
    x = 95,580.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.