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Finding the Third Proportional to 32,500 and 66,152

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Solution

The third proportional to 32,500 and 66,152 is: 134,648.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,500 : 66,152 = 66,152 : x
  2. Step 2: Convert to fraction form
    32,500/66,152 = 66,152/x
  3. Step 3: Cross multiply
    32,500x = 66,152 × 66,152
  4. Step 4: Simplify right side
    32,500x = 4,376,087,104
  5. Step 5: Solve for x
    x = 4,376,087,104/32,500
  6. Step 6: Final answer
    x = 134,648.83

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.