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Finding the Third Proportional to 51,035.06 and 66,711.09

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Solution

The third proportional to 51,035.06 and 66,711.09 is: 87,202.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,035.06 : 66,711.09 = 66,711.09 : x
  2. Step 2: Convert to fraction form
    51,035.06/66,711.09 = 66,711.09/x
  3. Step 3: Cross multiply
    51,035.06x = 66,711.09 × 66,711.09
  4. Step 4: Simplify right side
    51,035.06x = 4,450,370,029.32
  5. Step 5: Solve for x
    x = 4,450,370,029.32/51,035.06
  6. Step 6: Final answer
    x = 87,202.21

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.