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Finding the Third Proportional to 34,908.19 and 75,351.38

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Solution

The third proportional to 34,908.19 and 75,351.38 is: 162,650.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,908.19 : 75,351.38 = 75,351.38 : x
  2. Step 2: Convert to fraction form
    34,908.19/75,351.38 = 75,351.38/x
  3. Step 3: Cross multiply
    34,908.19x = 75,351.38 × 75,351.38
  4. Step 4: Simplify right side
    34,908.19x = 5,677,829,714.39
  5. Step 5: Solve for x
    x = 5,677,829,714.39/34,908.19
  6. Step 6: Final answer
    x = 162,650.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.