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Finding the Third Proportional to 31,495.50 and 66,609

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Solution

The third proportional to 31,495.50 and 66,609 is: 140,869.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,495.50 : 66,609 = 66,609 : x
  2. Step 2: Convert to fraction form
    31,495.50/66,609 = 66,609/x
  3. Step 3: Cross multiply
    31,495.50x = 66,609 × 66,609
  4. Step 4: Simplify right side
    31,495.50x = 4,436,758,881
  5. Step 5: Solve for x
    x = 4,436,758,881/31,495.50
  6. Step 6: Final answer
    x = 140,869.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.