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Finding the Third Proportional to 32,726 and 51,905

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Solution

The third proportional to 32,726 and 51,905 is: 82,323.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,726 : 51,905 = 51,905 : x
  2. Step 2: Convert to fraction form
    32,726/51,905 = 51,905/x
  3. Step 3: Cross multiply
    32,726x = 51,905 × 51,905
  4. Step 4: Simplify right side
    32,726x = 2,694,129,025
  5. Step 5: Solve for x
    x = 2,694,129,025/32,726
  6. Step 6: Final answer
    x = 82,323.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.