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Finding the Third Proportional to 32,240 and 68,395

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Solution

The third proportional to 32,240 and 68,395 is: 145,095.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,240 : 68,395 = 68,395 : x
  2. Step 2: Convert to fraction form
    32,240/68,395 = 68,395/x
  3. Step 3: Cross multiply
    32,240x = 68,395 × 68,395
  4. Step 4: Simplify right side
    32,240x = 4,677,876,025
  5. Step 5: Solve for x
    x = 4,677,876,025/32,240
  6. Step 6: Final answer
    x = 145,095.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.