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Finding the Third Proportional to 30,057 and 44,235

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Solution

The third proportional to 30,057 and 44,235 is: 65,100.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,057 : 44,235 = 44,235 : x
  2. Step 2: Convert to fraction form
    30,057/44,235 = 44,235/x
  3. Step 3: Cross multiply
    30,057x = 44,235 × 44,235
  4. Step 4: Simplify right side
    30,057x = 1,956,735,225
  5. Step 5: Solve for x
    x = 1,956,735,225/30,057
  6. Step 6: Final answer
    x = 65,100.82

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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.