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Finding the Third Proportional to 34,435.13 and 73,006.31

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Solution

The third proportional to 34,435.13 and 73,006.31 is: 154,781.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,435.13 : 73,006.31 = 73,006.31 : x
  2. Step 2: Convert to fraction form
    34,435.13/73,006.31 = 73,006.31/x
  3. Step 3: Cross multiply
    34,435.13x = 73,006.31 × 73,006.31
  4. Step 4: Simplify right side
    34,435.13x = 5,329,921,664.85
  5. Step 5: Solve for x
    x = 5,329,921,664.85/34,435.13
  6. Step 6: Final answer
    x = 154,781.54

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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.