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Finding the Third Proportional to 30,250 and 44,318

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Solution

The third proportional to 30,250 and 44,318 is: 64,928.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,250 : 44,318 = 44,318 : x
  2. Step 2: Convert to fraction form
    30,250/44,318 = 44,318/x
  3. Step 3: Cross multiply
    30,250x = 44,318 × 44,318
  4. Step 4: Simplify right side
    30,250x = 1,964,085,124
  5. Step 5: Solve for x
    x = 1,964,085,124/30,250
  6. Step 6: Final answer
    x = 64,928.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.