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Finding the Third Proportional to 30,112 and 44,731.50

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Solution

The third proportional to 30,112 and 44,731.50 is: 66,448.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,112 : 44,731.50 = 44,731.50 : x
  2. Step 2: Convert to fraction form
    30,112/44,731.50 = 44,731.50/x
  3. Step 3: Cross multiply
    30,112x = 44,731.50 × 44,731.50
  4. Step 4: Simplify right side
    30,112x = 2,000,907,092.25
  5. Step 5: Solve for x
    x = 2,000,907,092.25/30,112
  6. Step 6: Final answer
    x = 66,448.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.