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Finding the Third Proportional to 34,688.25 and 85,029.75

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Solution

The third proportional to 34,688.25 and 85,029.75 is: 208,429.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,688.25 : 85,029.75 = 85,029.75 : x
  2. Step 2: Convert to fraction form
    34,688.25/85,029.75 = 85,029.75/x
  3. Step 3: Cross multiply
    34,688.25x = 85,029.75 × 85,029.75
  4. Step 4: Simplify right side
    34,688.25x = 7,230,058,385.06
  5. Step 5: Solve for x
    x = 7,230,058,385.06/34,688.25
  6. Step 6: Final answer
    x = 208,429.61

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.