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Finding the Third Proportional to 28,450 and 37,395

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Solution

The third proportional to 28,450 and 37,395 is: 49,152.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,450 : 37,395 = 37,395 : x
  2. Step 2: Convert to fraction form
    28,450/37,395 = 37,395/x
  3. Step 3: Cross multiply
    28,450x = 37,395 × 37,395
  4. Step 4: Simplify right side
    28,450x = 1,398,386,025
  5. Step 5: Solve for x
    x = 1,398,386,025/28,450
  6. Step 6: Final answer
    x = 49,152.41

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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.